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122011020122000 = 2453194362773597
BaseRepresentation
bin11011101111011111100111…
…100000110101011110010000
3121000000010202202221002100012
4123233133213200311132100
5111443012032122401000
61111255031105214052
734462001551162622
oct3357374740653620
9530003682832305
10122011020122000
1135970646046839
1211826677931328
135310788b12499
14221b51734ac12
15e18bbed49735
hex6ef7e7835790

122011020122000 has 160 divisors (see below), whose sum is σ = 310561492375680. Its totient is φ = 46234066982400.

The previous prime is 122011020121993. The next prime is 122011020122003. The reversal of 122011020122000 is 221020110221.

It is a super-2 number, since 2×1220110201220002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122011020122003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657789202 + ... + 1657862798.

It is an arithmetic number, because the mean of its divisors is an integer number (1941009327348).

Almost surely, 2122011020122000 is an apocalyptic number.

122011020122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122011020122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155280746187840).

122011020122000 is an abundant number, since it is smaller than the sum of its proper divisors (188550472253680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122011020122000 is a wasteful number, since it uses less digits than its factorization.

122011020122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117266 (or 117250 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122011020122000 its reverse (221020110221), we get a palindrome (122232040232221).

The spelling of 122011020122000 in words is "one hundred twenty-two trillion, eleven billion, twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 43627 73597 87254 147194 174508 218135 294388 349016 367985 436270 588776 698032 735970 828913 872540 1090675 1177552 1398343 1471940 1657826 1745080 1839925 2181350 2796686 2943880 3315652 3490160 3679850 4144565 4362700 5453375 5593372 5887760 6631304 6991715 7359700 8289130 8725400 9199625 10906750 11186744 13262608 13983430 14719400 16578260 17450800 18399250 20722825 21813500 22373488 27966860 29438800 33156520 34958575 36798500 41445650 43627000 55933720 66313040 69917150 73597000 82891300 87254000 103614125 111867440 139834300 147194000 165782600 174792875 207228250 279668600 331565200 349585750 414456500 559337200 699171500 828913000 1398343000 1657826000 2796686000 3210816319 6421632638 12843265276 16054081595 25686530552 32108163190 51373061104 61005510061 64216326380 80270407975 122011020122 128432652760 160540815950 244022040244 256865305520 305027550305 321081631900 401352039875 488044080488 610055100610 642163263800 802704079750 976088160976 1220110201220 1284326527600 1525137751525 1605408159500 2440220402440 3050275503050 3210816319000 4880440804880 6100551006100 6421632638000 7625688757625 12201102012200 15251377515250 24402204024400 30502755030500 61005510061000 122011020122000