121553596800 has 288 divisors, whose sum is σ = 435665229480. Its totient is φ = 32269762560.

The previous prime is 121553596781. The next prime is 121553596807. The reversal of 121553596800 is 8695355121.

121553596800 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 53 + 596 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121553596807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6528304 + ... + 6546896.

Almost surely, 2^121553596800 is an apocalyptic number.

121553596800 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 121553596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217832614740).

121553596800 is an abundant number, since it is smaller than the sum of its proper divisors (314111632680).

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

121553596800 is a wasteful number, since it uses less digits than its factorization.

121553596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18850 (or 18830 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 121553596800 in words is "one hundred twenty-one billion, five hundred fifty-three million, five hundred ninety-six thousand, eight hundred".