121867315680 has 96 divisors (see below), whose sum is σ = 418780430208. Its totient is φ = 29543590400.

The previous prime is 121867315651. The next prime is 121867315681. The reversal of 121867315680 is 86513768121.

121867315680 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121867315681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11535186 + ... + 11545745.

It is an arithmetic number, because the mean of its divisors is an integer number (4362296148).

Almost surely, 2^121867315680 is an apocalyptic number.

121867315680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121867315680 is an abundant number, since it is smaller than the sum of its proper divisors (296913114528).

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

121867315680 is a wasteful number, since it uses less digits than its factorization.

121867315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23080960 (or 23080952 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 121867315680 in words is "one hundred twenty-one billion, eight hundred sixty-seven million, three hundred fifteen thousand, six hundred eighty".