121752720 has 120 divisors (see below), whose sum is σ = 424097856. Its totient is φ = 32462208.

The previous prime is 121752707. The next prime is 121752733. The reversal of 121752720 is 27257121.

It is an interprime number because it is at equal distance from previous prime (121752707) and next prime (121752733).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16309 + ... + 22571.

Almost surely, 2^121752720 is an apocalyptic number.

121752720 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 121752720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212048928).

121752720 is an abundant number, since it is smaller than the sum of its proper divisors (302345136).

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

121752720 is an equidigital number, since it uses as much as digits as its factorization.

121752720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 121752720 is about 11034.1614996338. The cubic root of 121752720 is about 495.6322499519.

The spelling of 121752720 in words is "one hundred twenty-one million, seven hundred fifty-two thousand, seven hundred twenty".