120331967742 has 128 divisors (see below), whose sum is σ = 316967040000. Its totient is φ = 33108518016.

The previous prime is 120331967699. The next prime is 120331967761. The reversal of 120331967742 is 247769133021.

120331967742 is a `hidden beast` number, since 1 + 203 + 319 + 67 + 74 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4250109 + ... + 4278327.

It is an arithmetic number, because the mean of its divisors is an integer number (2476305000).

Almost surely, 2^120331967742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120331967742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158483520000).

120331967742 is an abundant number, since it is smaller than the sum of its proper divisors (196635072258).

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

120331967742 is a wasteful number, since it uses less digits than its factorization.

120331967742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28655 (or 28649 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 120331967742 in words is "one hundred twenty billion, three hundred thirty-one million, nine hundred sixty-seven thousand, seven hundred forty-two".