120767688774 has 120 divisors (see below), whose sum is σ = 285461084760. Its totient is φ = 37846041480.

The previous prime is 120767688763. The next prime is 120767688809. The reversal of 120767688774 is 477886767021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 921890689 + ... + 921890819.

It is an arithmetic number, because the mean of its divisors is an integer number (2378842373).

Almost surely, 2^120767688774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120767688774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142730542380).

120767688774 is an abundant number, since it is smaller than the sum of its proper divisors (164693395986).

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

120767688774 is an frugal number, since it uses more digits than its factorization.

120767688774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

It can be divided in two parts, 12076 and 7688774, that added together give a triangular number (7700850 = T₃₉₂₄).

The spelling of 120767688774 in words is "one hundred twenty billion, seven hundred sixty-seven million, six hundred eighty-eight thousand, seven hundred seventy-four".