121070664 has 144 divisors (see below), whose sum is σ = 388506300. Its totient is φ = 33834240.

The previous prime is 121070659. The next prime is 121070693. The reversal of 121070664 is 466070121.

It can be written as a sum of positive squares in 2 ways, for example, as 115734564 + 5336100 = 10758^2 + 2310^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 112722 + ... + 113790.

Almost surely, 2^121070664 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 121070664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194253150).

121070664 is an abundant number, since it is smaller than the sum of its proper divisors (267435636).

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

121070664 is a wasteful number, since it uses less digits than its factorization.

121070664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 121070664 is about 11003.2115311849. The cubic root of 121070664 is about 494.7050094233.

The spelling of 121070664 in words is "one hundred twenty-one million, seventy thousand, six hundred sixty-four".