121727563776 has 768 divisors, whose sum is σ = 470234419200. Its totient is φ = 30194270208.

The previous prime is 121727563681. The next prime is 121727563787. The reversal of 121727563776 is 677365727121.

121727563776 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 2 + 7 + 563 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85542201 + ... + 85543623.

It is an arithmetic number, because the mean of its divisors is an integer number (612284400).

Almost surely, 2^121727563776 is an apocalyptic number.

121727563776 is a gapful number since it is divisible by the number (16) 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 121727563776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235117209600).

121727563776 is an abundant number, since it is smaller than the sum of its proper divisors (348506855424).

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

121727563776 is a wasteful number, since it uses less digits than its factorization.

121727563776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1465 counting only the distinct ones).

The product of its digits is 5186160, while the sum is 54.

The spelling of 121727563776 in words is "one hundred twenty-one billion, seven hundred twenty-seven million, five hundred sixty-three thousand, seven hundred seventy-six".