121564032 has 64 divisors (see below), whose sum is σ = 326624400. Its totient is φ = 40054784.

The previous prime is 121564031. The next prime is 121564049. The reversal of 121564032 is 230465121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 121563993 and 121564011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121564031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32398 + ... + 35954.

Almost surely, 2^121564032 is an apocalyptic number.

121564032 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 121564032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163312200).

121564032 is an abundant number, since it is smaller than the sum of its proper divisors (205060368).

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

121564032 is an equidigital number, since it uses as much as digits as its factorization.

121564032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 121564032 is about 11025.6080104455. The cubic root of 121564032 is about 495.3760798752.

The spelling of 121564032 in words is "one hundred twenty-one million, five hundred sixty-four thousand, thirty-two".