121764032 has 56 divisors (see below), whose sum is σ = 268662912. Its totient is φ = 54374400.

The previous prime is 121764031. The next prime is 121764053. The reversal of 121764032 is 230467121.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 121763992 and 121764010.

It is not an unprimeable number, because it can be changed into a prime (121764031) 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, 23432 + ... + 28152.

It is an arithmetic number, because the mean of its divisors is an integer number (4797552).

Almost surely, 2^121764032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134331456).

121764032 is an abundant number, since it is smaller than the sum of its proper divisors (146898880).

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

121764032 is a wasteful number, since it uses less digits than its factorization.

121764032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 121764032 is about 11034.6740776518. The cubic root of 121764032 is about 495.6475991459.

The spelling of 121764032 in words is "one hundred twenty-one million, seven hundred sixty-four thousand, thirty-two".