121032064 has 32 divisors (see below), whose sum is σ = 242639640. Its totient is φ = 60134400.

The previous prime is 121032047. The next prime is 121032073. The reversal of 121032064 is 460230121.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×121032064² = 29297521032200192, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 17964 + ... + 23764.

Almost surely, 2^121032064 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 121032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121319820).

121032064 is an abundant number, since it is smaller than the sum of its proper divisors (121607576).

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

121032064 is an equidigital number, since it uses as much as digits as its factorization.

121032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5966 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 121032064 is about 11001.4573580049. The cubic root of 121032064 is about 494.6524295429.

Adding to 121032064 its reverse (460230121), we get a palindrome (581262185).

The spelling of 121032064 in words is "one hundred twenty-one million, thirty-two thousand, sixty-four".