121196251915200 has 4032 divisors, whose sum is σ = 581633658777600. Its totient is φ = 23176013414400.

The previous prime is 121196251915093. The next prime is 121196251915223. The reversal of 121196251915200 is 2519152691121.

121196251915200 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 9 + 625 + 1 + 9 + 15 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 319779028611 + ... + 319779028989.

Almost surely, 2^{121196251915200} is an apocalyptic number.

121196251915200 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 121196251915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290816829388800).

121196251915200 is an abundant number, since it is smaller than the sum of its proper divisors (460437406862400).

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

121196251915200 is a wasteful number, since it uses less digits than its factorization.

121196251915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 121196251915200 in words is "one hundred twenty-one trillion, one hundred ninety-six billion, two hundred fifty-one million, nine hundred fifteen thousand, two hundred".