121890360384 has 315 divisors, whose sum is σ = 392304895983. Its totient is φ = 37404177408.

The previous prime is 121890360373. The next prime is 121890360391. The reversal of 121890360384 is 483063098121.

The square root of 121890360384 is 349128.

It is a perfect power (a square), and thus also a powerful number.

121890360384 is a `hidden beast` number, since 121 + 8 + 90 + 3 + 60 + 384 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14096337984 + 107794022400 = 118728^2 + 328320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 326783622 + ... + 326783994.

Almost surely, 2^121890360384 is an apocalyptic number.

121890360384 is the 349128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121890360384

121890360384 is an abundant number, since it is smaller than the sum of its proper divisors (270414535599).

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

121890360384 is an frugal number, since it uses more digits than its factorization.

121890360384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 121890360384 in words is "one hundred twenty-one billion, eight hundred ninety million, three hundred sixty thousand, three hundred eighty-four".