121176864 has 96 divisors (see below), whose sum is σ = 356328000. Its totient is φ = 40061952.

The previous prime is 121176863. The next prime is 121176899. The reversal of 121176864 is 468671121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121176863) 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, 119592 + ... + 120600.

It is an arithmetic number, because the mean of its divisors is an integer number (3711750).

Almost surely, 2^121176864 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 121176864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178164000).

121176864 is an abundant number, since it is smaller than the sum of its proper divisors (235151136).

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

121176864 is a wasteful number, since it uses less digits than its factorization.

121176864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1153 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 121176864 is about 11008.0363371493. The cubic root of 121176864 is about 494.8496145549.

It can be divided in two parts, 12117 and 6864, that added together give a palindrome (18981).

The spelling of 121176864 in words is "one hundred twenty-one million, one hundred seventy-six thousand, eight hundred sixty-four".