121560617268 has 96 divisors (see below), whose sum is σ = 318472560000. Its totient is φ = 40094438400.

The previous prime is 121560617263. The next prime is 121560617273. The reversal of 121560617268 is 862716065121.

121560617268 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 6 + 0 + 617 + 26 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (121560617263) and next prime (121560617273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121560617261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29438628 + ... + 29442756.

It is an arithmetic number, because the mean of its divisors is an integer number (3317422500).

Almost surely, 2^121560617268 is an apocalyptic number.

121560617268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121560617268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159236280000).

121560617268 is an abundant number, since it is smaller than the sum of its proper divisors (196911942732).

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

121560617268 is a wasteful number, since it uses less digits than its factorization.

121560617268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 121560617268 in words is "one hundred twenty-one billion, five hundred sixty million, six hundred seventeen thousand, two hundred sixty-eight".