121776656742 has 64 divisors (see below), whose sum is σ = 291725300160. Its totient is φ = 37431942912.

The previous prime is 121776656723. The next prime is 121776656753. The reversal of 121776656742 is 247656677121.

121776656742 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 76 + 6 + 567 + 4 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 612898 + ... + 786890.

It is an arithmetic number, because the mean of its divisors is an integer number (4558207815).

Almost surely, 2^121776656742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121776656742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145862650080).

121776656742 is an abundant number, since it is smaller than the sum of its proper divisors (169948643418).

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

121776656742 is a wasteful number, since it uses less digits than its factorization.

121776656742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175014 (or 175008 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 121776656742 in words is "one hundred twenty-one billion, seven hundred seventy-six million, six hundred fifty-six thousand, seven hundred forty-two".