121496523264 has 160 divisors (see below), whose sum is σ = 378567288000. Its totient is φ = 38367240192.

The previous prime is 121496523251. The next prime is 121496523301. The reversal of 121496523264 is 462325694121.

121496523264 is a `hidden beast` number, since 1 + 2 + 14 + 96 + 523 + 26 + 4 = 666.

It is a super-2 number, since 2×121496523264² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 31372 + ... + 493940.

It is an arithmetic number, because the mean of its divisors is an integer number (2366045550).

Almost surely, 2^121496523264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121496523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189283644000).

121496523264 is an abundant number, since it is smaller than the sum of its proper divisors (257070764736).

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

121496523264 is an equidigital number, since it uses as much as digits as its factorization.

121496523264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462615 (or 462593 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 121496523264 in words is "one hundred twenty-one billion, four hundred ninety-six million, five hundred twenty-three thousand, two hundred sixty-four".