121202201012112 has 160 divisors (see below), whose sum is σ = 381179348496000. Its totient is φ = 36567555356160.

The previous prime is 121202201012083. The next prime is 121202201012141. The reversal of 121202201012112 is 211210102202121.

121202201012112 is a `hidden beast` number, since 12 + 120 + 220 + 101 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (121202201012083) and next prime (121202201012141).

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

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 31 ways as a sum of consecutive naturals, for example, 54600687 + ... + 56777102.

It is an arithmetic number, because the mean of its divisors is an integer number (2382370928100).

Almost surely, 2^{121202201012112} is an apocalyptic number.

121202201012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121202201012112 is an abundant number, since it is smaller than the sum of its proper divisors (259977147483888).

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

121202201012112 is a wasteful number, since it uses less digits than its factorization.

121202201012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111378046 (or 111378034 counting only the distinct ones).

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

Adding to 121202201012112 its reverse (211210102202121), we get a palindrome (332412303214233).

The spelling of 121202201012112 in words is "one hundred twenty-one trillion, two hundred two billion, two hundred one million, twelve thousand, one hundred twelve".