121152294720 has 168 divisors, whose sum is σ = 416841944064. Its totient is φ = 32297315328.

The previous prime is 121152294671. The next prime is 121152294743. The reversal of 121152294720 is 27492251121.

It is a happy number.

121152294720 is a `hidden beast` number, since 1 + 21 + 1 + 522 + 94 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18333657 + ... + 18340263.

It is an arithmetic number, because the mean of its divisors is an integer number (2481202048).

Almost surely, 2^121152294720 is an apocalyptic number.

121152294720 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 121152294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208420972032).

121152294720 is an abundant number, since it is smaller than the sum of its proper divisors (295689649344).

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

121152294720 is a wasteful number, since it uses less digits than its factorization.

121152294720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12997 (or 12984 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 121152294720 in words is "one hundred twenty-one billion, one hundred fifty-two million, two hundred ninety-four thousand, seven hundred twenty".