121515960384 has 336 divisors, whose sum is σ = 429871583232. Its totient is φ = 31959207936.

The previous prime is 121515960361. The next prime is 121515960403. The reversal of 121515960384 is 483069515121.

It is a happy number.

121515960384 is a `hidden beast` number, since 1 + 2 + 1 + 51 + 596 + 0 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×121515960384² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20072302 + ... + 20078354.

It is an arithmetic number, because the mean of its divisors is an integer number (1279379712).

Almost surely, 2^121515960384 is an apocalyptic number.

121515960384 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 121515960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214935791616).

121515960384 is an abundant number, since it is smaller than the sum of its proper divisors (308355622848).

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

121515960384 is a wasteful number, since it uses less digits than its factorization.

121515960384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 121515960384 in words is "one hundred twenty-one billion, five hundred fifteen million, nine hundred sixty thousand, three hundred eighty-four".