121656162600 has 192 divisors, whose sum is σ = 478900598400. Its totient is φ = 27807114240.

The previous prime is 121656162583. The next prime is 121656162611. The reversal of 121656162600 is 6261656121.

121656162600 is a `hidden beast` number, since 1 + 2 + 16 + 5 + 616 + 26 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1571409 + ... + 1647008.

It is an arithmetic number, because the mean of its divisors is an integer number (2494273950).

Almost surely, 2^121656162600 is an apocalyptic number.

121656162600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121656162600 is an abundant number, since it is smaller than the sum of its proper divisors (357244435800).

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

121656162600 is a wasteful number, since it uses less digits than its factorization.

121656162600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218449 (or 3218434 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 1216561 and 62600, that added together give a square (1279161 = 1131²).

The spelling of 121656162600 in words is "one hundred twenty-one billion, six hundred fifty-six million, one hundred sixty-two thousand, six hundred".