121612752 has 120 divisors (see below), whose sum is σ = 364698880. Its totient is φ = 39191040.

The previous prime is 121612739. The next prime is 121612759. The reversal of 121612752 is 257216121.

It is a super-2 number, since 2×121612752² = 29579322898027008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121612759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120024 + ... + 121032.

Almost surely, 2^121612752 is an apocalyptic number.

121612752 is a gapful number since it is divisible by the number (12) 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 121612752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182349440).

121612752 is an abundant number, since it is smaller than the sum of its proper divisors (243086128).

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

121612752 is a wasteful number, since it uses less digits than its factorization.

121612752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1045 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 121612752 is about 11027.8171910855. The cubic root of 121612752 is about 495.4422493902.

Adding to 121612752 its reverse (257216121), we get a palindrome (378828873).

The spelling of 121612752 in words is "one hundred twenty-one million, six hundred twelve thousand, seven hundred fifty-two".