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122010022220020 = 225111315577600573
BaseRepresentation
bin11011101111011110101100…
…000010001001000011110100
3121000000001012020012102011121
4123233132230002021003310
5111443003011142020040
61111254344100513324
734461635043150454
oct3357365402110364
9530001166172147
10122010022220020
1135970183826260
12118264396ab844
13531065a15b23c
14221b4609c7d64
15e18b6242ec4a
hex6ef7ac0890f4

122010022220020 has 96 divisors (see below), whose sum is σ = 282153250786176. Its totient is φ = 43949547532800.

The previous prime is 122010022219999. The next prime is 122010022220041. The reversal of 122010022220020 is 20022220010221.

It is an interprime number because it is at equal distance from previous prime (122010022219999) and next prime (122010022220041).

It is a junction number, because it is equal to n+sod(n) for n = 122010022219976 and 122010022220003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12252454 + ... + 19853026.

It is an arithmetic number, because the mean of its divisors is an integer number (2939096362356).

Almost surely, 2122010022220020 is an apocalyptic number.

122010022220020 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 122010022220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141076625393088).

122010022220020 is an abundant number, since it is smaller than the sum of its proper divisors (160143228566156).

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

122010022220020 is a wasteful number, since it uses less digits than its factorization.

122010022220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7601281 (or 7601279 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122010022220020 its reverse (20022220010221), we get a palindrome (142032242230241).

The spelling of 122010022220020 in words is "one hundred twenty-two trillion, ten billion, twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 557 655 1114 1310 1441 2228 2620 2785 2882 5570 5764 6127 7205 11140 12254 14410 24508 28820 30635 61270 72967 122540 145934 291868 364835 729670 802637 1459340 1605274 3210548 4013185 7600573 8026370 15201146 16052740 30402292 38002865 76005730 83606303 152011460 167212606 334425212 418031515 836063030 995675063 1672126060 1991350126 3982700252 4233519161 4978375315 8467038322 9956750630 10952425693 16934076644 19913501260 21167595805 21904851386 42335191610 43809702772 46568710771 54762128465 84670383220 93137421542 109524256930 186274843084 219048513860 232843553855 465687107710 554591010091 931374215420 1109182020182 2218364040364 2772955050455 5545910100910 6100501111001 11091820201820 12201002222002 24402004444004 30502505555005 61005011110010 122010022220020