121607740442088 has 128 divisors (see below), whose sum is σ = 358892058528000. Its totient is φ = 38080336170240.

The previous prime is 121607740442057. The next prime is 121607740442119. The reversal of 121607740442088 is 880244047706121.

It is a happy number.

121607740442088 is a `hidden beast` number, since 1 + 2 + 1 + 607 + 7 + 4 + 0 + 4 + 4 + 20 + 8 + 8 = 666.

121607740442088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121607740442057) and next prime (121607740442119).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262116228 + ... + 262579763.

It is an arithmetic number, because the mean of its divisors is an integer number (2803844207250).

Almost surely, 2^{121607740442088} is an apocalyptic number.

121607740442088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121607740442088 is an abundant number, since it is smaller than the sum of its proper divisors (237284318085912).

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

121607740442088 is a wasteful number, since it uses less digits than its factorization.

121607740442088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524696072 (or 524696062 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 121607740442088 in words is "one hundred twenty-one trillion, six hundred seven billion, seven hundred forty million, four hundred forty-two thousand, eighty-eight".