121021211111112 has 192 divisors, whose sum is σ = 367167625297200. Its totient is φ = 35754612848640.

The previous prime is 121021211111111. The next prime is 121021211111137. The reversal of 121021211111112 is 211111112120121.

121021211111112 is a `hidden beast` number, since 1 + 210 + 21 + 211 + 111 + 112 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1393311108996 + 119627900002116 = 1180386^2 + 10937454^2 .

It is a super-2 number, since 2×121021211111112² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121021211111111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7403203 + ... + 17229330.

Almost surely, 2^{121021211111112} is an apocalyptic number.

121021211111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121021211111112 is an abundant number, since it is smaller than the sum of its proper divisors (246146414186088).

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

121021211111112 is a wasteful number, since it uses less digits than its factorization.

121021211111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24632768 (or 24632761 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 121021211111112 its reverse (211111112120121), we get a palindrome (332132323231233).

The spelling of 121021211111112 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred eleven million, one hundred eleven thousand, one hundred twelve".