121520972160 has 2304 divisors, whose sum is σ = 574665062400. Its totient is φ = 23410114560.

The previous prime is 121520972137. The next prime is 121520972171. The reversal of 121520972160 is 61279025121.

121520972160 is a `hidden beast` number, since 1 + 2 + 1 + 520 + 9 + 72 + 1 + 60 = 666.

It is a super-2 number, since 2×121520972160² (a number of 23 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 2826069099 + ... + 2826069141.

It is an arithmetic number, because the mean of its divisors is an integer number (249420600).

Almost surely, 2^121520972160 is an apocalyptic number.

121520972160 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 121520972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287332531200).

121520972160 is an abundant number, since it is smaller than the sum of its proper divisors (453144090240).

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

121520972160 is a wasteful number, since it uses less digits than its factorization.

121520972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 121520972160 its reverse (61279025121), we get a palindrome (182799997281).

The spelling of 121520972160 in words is "one hundred twenty-one billion, five hundred twenty million, nine hundred seventy-two thousand, one hundred sixty".