121361664 has 72 divisors (see below), whose sum is σ = 340039840. Its totient is φ = 38320128.

The previous prime is 121361651. The next prime is 121361671. The reversal of 121361664 is 466163121.

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 10434 + ... + 18750.

Almost surely, 2^121361664 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 121361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170019920).

121361664 is an abundant number, since it is smaller than the sum of its proper divisors (218678176).

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

121361664 is an equidigital number, since it uses as much as digits as its factorization.

121361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8355 (or 8341 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 121361664 is about 11016.4270069746. The cubic root of 121361664 is about 495.1010425300.

The spelling of 121361664 in words is "one hundred twenty-one million, three hundred sixty-one thousand, six hundred sixty-four".