121634304 has 160 divisors (see below), whose sum is σ = 370047744. Its totient is φ = 35143680.

The previous prime is 121634291. The next prime is 121634309. The reversal of 121634304 is 403436121.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121634309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388452 + ... + 388764.

Almost surely, 2^121634304 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 121634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185023872).

121634304 is an abundant number, since it is smaller than the sum of its proper divisors (248413440).

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

121634304 is a wasteful number, since it uses less digits than its factorization.

121634304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 121634304 is about 11028.7943130698. The cubic root of 121634304 is about 495.4715147988.

The spelling of 121634304 in words is "one hundred twenty-one million, six hundred thirty-four thousand, three hundred four".