121888665600 has 624 divisors, whose sum is σ = 453206326272. Its totient is φ = 28677242880.

The previous prime is 121888665559. The next prime is 121888665601. The reversal of 121888665600 is 6566888121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121888665601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91852137 + ... + 91853463.

Almost surely, 2^121888665600 is an apocalyptic number.

121888665600 is a gapful number since it is divisible by the number (10) 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 121888665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226603163136).

121888665600 is an abundant number, since it is smaller than the sum of its proper divisors (331317660672).

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

121888665600 is a wasteful number, since it uses less digits than its factorization.

121888665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 121888665600 in words is "one hundred twenty-one billion, eight hundred eighty-eight million, six hundred sixty-five thousand, six hundred".