112121112002120 has 64 divisors (see below), whose sum is σ = 271723723755120. Its totient is φ = 41391609053184.

The previous prime is 112121112002113. The next prime is 112121112002147. The reversal of 112121112002120 is 21200211121211.

It can be written as a sum of positive squares in 8 ways, for example, as 12973726832836 + 99147385169284 = 3601906^2 + 9957278^2 .

It is a super-2 number, since 2×112121112002120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15014429 + ... + 21205548.

Almost surely, 2^{112121112002120} is an apocalyptic number.

112121112002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121112002120 is an abundant number, since it is smaller than the sum of its proper divisors (159602611753000).

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

112121112002120 is a wasteful number, since it uses less digits than its factorization.

112121112002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36225954 (or 36225950 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112121112002120 its reverse (21200211121211), we get a palindrome (133321323123331).

The spelling of 112121112002120 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twelve million, two thousand, one hundred twenty".