121033211112 has 72 divisors (see below), whose sum is σ = 360307226370. Its totient is φ = 36676728000.

The previous prime is 121033211107. The next prime is 121033211137. The reversal of 121033211112 is 211112330121.

121033211112 is a `hidden beast` number, since 1 + 210 + 332 + 11 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81331054596 + 39702156516 = 285186^2 + 199254^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6937639 + ... + 6955062.

Almost surely, 2^121033211112 is an apocalyptic number.

121033211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121033211112 is an abundant number, since it is smaller than the sum of its proper divisors (239274015258).

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

121033211112 is a wasteful number, since it uses less digits than its factorization.

121033211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13892735 (or 13892717 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121033211112 its reverse (211112330121), we get a palindrome (332145541233).

The spelling of 121033211112 in words is "one hundred twenty-one billion, thirty-three million, two hundred eleven thousand, one hundred twelve".