121157827200 has 288 divisors, whose sum is σ = 432994161600. Its totient is φ = 32258304000.

The previous prime is 121157827183. The next prime is 121157827207. The reversal of 121157827200 is 2728751121.

121157827200 is a `hidden beast` number, since 1 + 2 + 11 + 578 + 2 + 72 + 0 + 0 = 666.

121157827200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (121157827207) 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, 20704275 + ... + 20710125.

It is an arithmetic number, because the mean of its divisors is an integer number (1503451950).

Almost surely, 2^121157827200 is an apocalyptic number.

121157827200 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 121157827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216497080800).

121157827200 is an abundant number, since it is smaller than the sum of its proper divisors (311836334400).

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

121157827200 is a wasteful number, since it uses less digits than its factorization.

121157827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 121157827200 in words is "one hundred twenty-one billion, one hundred fifty-seven million, eight hundred twenty-seven thousand, two hundred".