121165380 has 288 divisors, whose sum is σ = 454132224. Its totient is φ = 25546752.

The previous prime is 121165379. The next prime is 121165397. The reversal of 121165380 is 83561121.

121165380 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 653 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1072204 + ... + 1072316.

It is an arithmetic number, because the mean of its divisors is an integer number (1576848).

Almost surely, 2^121165380 is an apocalyptic number.

121165380 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 121165380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227066112).

121165380 is an abundant number, since it is smaller than the sum of its proper divisors (332966844).

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

121165380 is a wasteful number, since it uses less digits than its factorization.

121165380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 121165380 is about 11007.5147058725. The cubic root of 121165380 is about 494.8339816684.

The spelling of 121165380 in words is "one hundred twenty-one million, one hundred sixty-five thousand, three hundred eighty".