121082304 has 112 divisors (see below), whose sum is σ = 382146048. Its totient is φ = 33082368.

The previous prime is 121082267. The next prime is 121082321. The reversal of 121082304 is 403280121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28954 + ... + 32870.

Almost surely, 2^121082304 is an apocalyptic number.

121082304 is a gapful number since it is divisible by the number (14) 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 121082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191073024).

121082304 is an abundant number, since it is smaller than the sum of its proper divisors (261063744).

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

121082304 is a wasteful number, since it uses less digits than its factorization.

121082304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 121082304 is about 11003.7404549544. The cubic root of 121082304 is about 494.7208629245.

The spelling of 121082304 in words is "one hundred twenty-one million, eighty-two thousand, three hundred four".