121122002210112 has 56 divisors (see below), whose sum is σ = 356076256502400. Its totient is φ = 40374000736128.

The previous prime is 121122002210087. The next prime is 121122002210141. The reversal of 121122002210112 is 211012200221121.

121122002210112 is a `hidden beast` number, since 1 + 211 + 220 + 0 + 221 + 0 + 1 + 12 = 666.

It is a super-4 number, since 4×121122002210112⁴ (a number of 57 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35046873912 + ... + 35046877367.

It is an arithmetic number, because the mean of its divisors is an integer number (6358504580400).

Almost surely, 2^{121122002210112} is an apocalyptic number.

121122002210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121122002210112 is an abundant number, since it is smaller than the sum of its proper divisors (234954254292288).

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

121122002210112 is an equidigital number, since it uses as much as digits as its factorization.

121122002210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70093751300 (or 70093751284 counting only the distinct ones).

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

Adding to 121122002210112 its reverse (211012200221121), we get a palindrome (332134202431233).

The spelling of 121122002210112 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two million, two hundred ten thousand, one hundred twelve".