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122112021021220 = 22512175016927733
BaseRepresentation
bin11011110000111101101011…
…101000101100001000100100
3121000100210110200221101012101
4123300331223220230020210
5112001140404340134340
61111413253225101444
734502205500515636
oct3360755350541044
9530323420841171
10122112021021220
11359aa46545a27a
1211842164927884
13531a163ab5489
1422223792b0a56
15e1b631d91c9a
hex6f0f6ba2c224

122112021021220 has 24 divisors (see below), whose sum is σ = 256645955160504. Its totient is φ = 48804672976896.

The previous prime is 122112021021203. The next prime is 122112021021253. The reversal of 122112021021220 is 22120120211221.

It can be written as a sum of positive squares in 4 ways, for example, as 8219241754084 + 113892779267136 = 2866922^2 + 10672056^2 .

It is a super-2 number, since 2×1221120210212202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2508439527 + ... + 2508488206.

It is an arithmetic number, because the mean of its divisors is an integer number (10693581465021).

Almost surely, 2122112021021220 is an apocalyptic number.

122112021021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112021021220 is an abundant number, since it is smaller than the sum of its proper divisors (134533934139284).

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

122112021021220 is a wasteful number, since it uses less digits than its factorization.

122112021021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016928959 (or 5016928957 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122112021021220 its reverse (22120120211221), we get a palindrome (144232141232441).

The spelling of 122112021021220 in words is "one hundred twenty-two trillion, one hundred twelve billion, twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1217 2434 4868 6085 12170 24340 5016927733 10033855466 20067710932 25084638665 50169277330 100338554660 6105601051061 12211202102122 24422404204244 30528005255305 61056010510610 122112021021220