121200632457696 has 1920 divisors, whose sum is σ = 428656922394624. Its totient is φ = 33210777600000.

The previous prime is 121200632457679. The next prime is 121200632457713. The reversal of 121200632457696 is 696754236002121.

It is a happy number.

121200632457696 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 0 + 63 + 2 + 4 + 576 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (121200632457679) and next prime (121200632457713).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 189080549536 + ... + 189080550176.

Almost surely, 2^{121200632457696} is an apocalyptic number.

121200632457696 is a gapful number since it is divisible by the number (16) 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 121200632457696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214328461197312).

121200632457696 is an abundant number, since it is smaller than the sum of its proper divisors (307456289936928).

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

121200632457696 is a wasteful number, since it uses less digits than its factorization.

121200632457696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 121200632457696 in words is "one hundred twenty-one trillion, two hundred billion, six hundred thirty-two million, four hundred fifty-seven thousand, six hundred ninety-six".