121375512720 has 2400 divisors, whose sum is σ = 591133593600. Its totient is φ = 22730803200.

The previous prime is 121375512677. The next prime is 121375512721. The reversal of 121375512720 is 27215573121.

121375512720 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 75 + 512 + 72 + 0 = 666.

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 (121375512721) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2057212051 + ... + 2057212109.

It is an arithmetic number, because the mean of its divisors is an integer number (246305664).

Almost surely, 2^121375512720 is an apocalyptic number.

121375512720 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 121375512720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295566796800).

121375512720 is an abundant number, since it is smaller than the sum of its proper divisors (469758080880).

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

121375512720 is a wasteful number, since it uses less digits than its factorization.

121375512720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 121375512720 in words is "one hundred twenty-one billion, three hundred seventy-five million, five hundred twelve thousand, seven hundred twenty".