121977265464 has 192 divisors, whose sum is σ = 350870607360. Its totient is φ = 38202658560.

The previous prime is 121977265453. The next prime is 121977265477. The reversal of 121977265464 is 464562779121.

121977265464 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 77 + 26 + 546 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 121977265464.

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 47 ways as a sum of consecutive naturals, for example, 24875637 + ... + 24880539.

It is an arithmetic number, because the mean of its divisors is an integer number (1827451080).

Almost surely, 2^121977265464 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 121977265464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175435303680).

121977265464 is an abundant number, since it is smaller than the sum of its proper divisors (228893341896).

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

121977265464 is a wasteful number, since it uses less digits than its factorization.

121977265464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5195 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 121977265464 in words is "one hundred twenty-one billion, nine hundred seventy-seven million, two hundred sixty-five thousand, four hundred sixty-four".