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122010021100220 = 225112122941023079
BaseRepresentation
bin11011101111011110101011…
…111101110111101010111100
3121000000001012011002112002112
4123233132223331313222330
5111443003010400201340
61111254344020513152
734461635030504651
oct3357365375675274
9530001164075075
10122010021100220
1135970183130a00
121182643924b7b8
135310659b58636
14221b4607b5c28
15e18b622ad065
hex6ef7abf77abc

122010021100220 has 72 divisors (see below), whose sum is σ = 281860557602400. Its totient is φ = 44331179009920.

The previous prime is 122010021100217. The next prime is 122010021100241. The reversal of 122010021100220 is 22001120010221.

It is a super-2 number, since 2×1220100211002202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122010021100195 and 122010021100204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17537360 + ... + 23485719.

It is an arithmetic number, because the mean of its divisors is an integer number (3914729966700).

Almost surely, 2122010021100220 is an apocalyptic number.

122010021100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010021100220 is an abundant number, since it is smaller than the sum of its proper divisors (159850536502180).

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

122010021100220 is a wasteful number, since it uses less digits than its factorization.

122010021100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41024339 (or 41024326 counting only the distinct ones).

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

Adding to 122010021100220 its reverse (22001120010221), we get a palindrome (144011141110441).

The spelling of 122010021100220 in words is "one hundred twenty-two trillion, ten billion, twenty-one million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1229 2420 2458 4916 6145 12290 13519 24580 27038 54076 67595 135190 148709 270380 297418 594836 743545 1487090 2974180 41023079 82046158 164092316 205115395 410230790 451253869 820461580 902507738 1805015476 2256269345 4512538690 4963792559 9025077380 9927585118 19855170236 24818962795 49637925590 50417364091 99275851180 100834728182 201669456364 252086820455 504173640910 554591005001 1008347281820 1109182010002 2218364020004 2772955025005 5545910050010 6100501055011 11091820100020 12201002110022 24402004220044 30502505275055 61005010550110 122010021100220