121267312572 has 96 divisors (see below), whose sum is σ = 336005752320. Its totient is φ = 33305529600.

The previous prime is 121267312549. The next prime is 121267312613. The reversal of 121267312572 is 275213762121.

121267312572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121267312572² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121267312572.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443322 + ... + 662622.

It is an arithmetic number, because the mean of its divisors is an integer number (3500059920).

Almost surely, 2^121267312572 is an apocalyptic number.

121267312572 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 121267312572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168002876160).

121267312572 is an abundant number, since it is smaller than the sum of its proper divisors (214738439748).

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

121267312572 is a wasteful number, since it uses less digits than its factorization.

121267312572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219571 (or 219569 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The spelling of 121267312572 in words is "one hundred twenty-one billion, two hundred sixty-seven million, three hundred twelve thousand, five hundred seventy-two".