122212021011120 has 160 divisors (see below), whose sum is σ = 420984623831040. Its totient is φ = 32587386566400.

The previous prime is 122212021011103. The next prime is 122212021011127. The reversal of 122212021011120 is 21110120212221.

122212021011120 is a `hidden beast` number, since 1 + 222 + 120 + 210 + 1 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122212021011093 and 122212021011102.

It is not an unprimeable number, because it can be changed into a prime (122212021011127) 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, 26255007 + ... + 30557313.

It is an arithmetic number, because the mean of its divisors is an integer number (2631153898944).

Almost surely, 2^{122212021011120} is an apocalyptic number.

122212021011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212021011120 is an abundant number, since it is smaller than the sum of its proper divisors (298772602819920).

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

122212021011120 is a wasteful number, since it uses less digits than its factorization.

122212021011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315480 (or 4315468 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122212021011120 its reverse (21110120212221), we get a palindrome (143322141223341).

The spelling of 122212021011120 in words is "one hundred twenty-two trillion, two hundred twelve billion, twenty-one million, eleven thousand, one hundred twenty".