121800153600 has 960 divisors, whose sum is σ = 478485744000. Its totient is φ = 30636195840.

The previous prime is 121800153547. The next prime is 121800153611. The reversal of 121800153600 is 6351008121.

121800153600 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 0 + 0 + 1 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531878286 + ... + 531878514.

It is an arithmetic number, because the mean of its divisors is an integer number (498422650).

Almost surely, 2^121800153600 is an apocalyptic number.

121800153600 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 121800153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239242872000).

121800153600 is an abundant number, since it is smaller than the sum of its proper divisors (356685590400).

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

121800153600 is an frugal number, since it uses more digits than its factorization.

121800153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 121800153600 in words is "one hundred twenty-one billion, eight hundred million, one hundred fifty-three thousand, six hundred".