121221001112112 has 120 divisors (see below), whose sum is σ = 382456525712240. Its totient is φ = 36733636684800.

The previous prime is 121221001112089. The next prime is 121221001112171. The reversal of 121221001112112 is 211211100122121.

It is a happy number.

121221001112112 is a `hidden beast` number, since 121 + 221 + 0 + 0 + 111 + 211 + 2 = 666.

It is a super-2 number, since 2×121221001112112² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159469089 + ... + 1159573632.

Almost surely, 2^{121221001112112} is an apocalyptic number.

121221001112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121221001112112 is an abundant number, since it is smaller than the sum of its proper divisors (261235524600128).

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

121221001112112 is a wasteful number, since it uses less digits than its factorization.

121221001112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319042760 (or 2319042737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121221001112112 its reverse (211211100122121), we get a palindrome (332432101234233).

The spelling of 121221001112112 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one million, one hundred twelve thousand, one hundred twelve".