121011664 has 40 divisors (see below), whose sum is σ = 248499720. Its totient is φ = 56985600.

The previous prime is 121011641. The next prime is 121011673. The reversal of 121011664 is 466110121.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 121000000 = 108^2 + 11000^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15844 + ... + 22204.

It is an arithmetic number, because the mean of its divisors is an integer number (6212493).

Almost surely, 2^121011664 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 121011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124249860).

121011664 is an abundant number, since it is smaller than the sum of its proper divisors (127488056).

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

121011664 is a wasteful number, since it uses less digits than its factorization.

121011664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 121011664 is about 11000.5301690419. The cubic root of 121011664 is about 494.6246366969.

Adding to 121011664 its reverse (466110121), we get a palindrome (587121785).

The spelling of 121011664 in words is "one hundred twenty-one million, eleven thousand, six hundred sixty-four".