120733842007296 has 576 divisors, whose sum is σ = 420090813990400. Its totient is φ = 33480811413504.

The previous prime is 120733842007279. The next prime is 120733842007379. The reversal of 120733842007296 is 692700248337021.

It is a happy number.

120733842007296 is a `hidden beast` number, since 1 + 2 + 0 + 73 + 3 + 84 + 200 + 7 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 732112626 + ... + 732277518.

Almost surely, 2^{120733842007296} is an apocalyptic number.

120733842007296 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 120733842007296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210045406995200).

120733842007296 is an abundant number, since it is smaller than the sum of its proper divisors (299356971983104).

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

120733842007296 is a wasteful number, since it uses less digits than its factorization.

120733842007296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165371 (or 165351 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 120733842007296 in words is "one hundred twenty trillion, seven hundred thirty-three billion, eight hundred forty-two million, seven thousand, two hundred ninety-six".