121082379264 has 264 divisors, whose sum is σ = 435895843968. Its totient is φ = 31449784320.

The previous prime is 121082379251. The next prime is 121082379277. The reversal of 121082379264 is 462973280121.

121082379264 is a `hidden beast` number, since 1 + 2 + 10 + 8 + 2 + 379 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (121082379251) and next prime (121082379277).

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×121082379264² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 624319 + ... + 794945.

Almost surely, 2^121082379264 is an apocalyptic number.

121082379264 is a gapful number since it is divisible by the number (14) 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 121082379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217947921984).

121082379264 is an abundant number, since it is smaller than the sum of its proper divisors (314813464704).

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

121082379264 is a wasteful number, since it uses less digits than its factorization.

121082379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170671 (or 170650 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 121082379264 in words is "one hundred twenty-one billion, eighty-two million, three hundred seventy-nine thousand, two hundred sixty-four".