121725227520 has 320 divisors, whose sum is σ = 465641447040. Its totient is φ = 29962911744.

The previous prime is 121725227509. The next prime is 121725227737. The reversal of 121725227520 is 25722527121.

121725227520 is a `hidden beast` number, since 12 + 1 + 72 + 52 + 2 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830827 + ... + 966293.

It is an arithmetic number, because the mean of its divisors is an integer number (1455129522).

Almost surely, 2^121725227520 is an apocalyptic number.

121725227520 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 121725227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232820723520).

121725227520 is an abundant number, since it is smaller than the sum of its proper divisors (343916219520).

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

121725227520 is a wasteful number, since it uses less digits than its factorization.

121725227520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135512 (or 135490 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 121725227520 in words is "one hundred twenty-one billion, seven hundred twenty-five million, two hundred twenty-seven thousand, five hundred twenty".