121264656254592 has 512 divisors, whose sum is σ = 344078473536000. Its totient is φ = 37767537819648.

The previous prime is 121264656254569. The next prime is 121264656254593. The reversal of 121264656254592 is 295452656462121.

121264656254592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (121264656254593) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110946619998 + ... + 110946621090.

It is an arithmetic number, because the mean of its divisors is an integer number (672028268625).

Almost surely, 2^{121264656254592} is an apocalyptic number.

121264656254592 is a gapful number since it is divisible by the number (12) 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 121264656254592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172039236768000).

121264656254592 is an abundant number, since it is smaller than the sum of its proper divisors (222813817281408).

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

121264656254592 is a wasteful number, since it uses less digits than its factorization.

121264656254592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2376 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 60.

The spelling of 121264656254592 in words is "one hundred twenty-one trillion, two hundred sixty-four billion, six hundred fifty-six million, two hundred fifty-four thousand, five hundred ninety-two".