121365640 has 64 divisors (see below), whose sum is σ = 300957120. Its totient is φ = 43680000.

The previous prime is 121365637. The next prime is 121365653. The reversal of 121365640 is 46563121.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 121365599 and 121365608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43075 + ... + 45805.

It is an arithmetic number, because the mean of its divisors is an integer number (4702455).

Almost surely, 2^121365640 is an apocalyptic number.

121365640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121365640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150478560).

121365640 is an abundant number, since it is smaller than the sum of its proper divisors (179591480).

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

121365640 is a wasteful number, since it uses less digits than its factorization.

121365640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 121365640 is about 11016.6074632802. The cubic root of 121365640 is about 495.1064492353.

The spelling of 121365640 in words is "one hundred twenty-one million, three hundred sixty-five thousand, six hundred forty".