120119965056 has 576 divisors, whose sum is σ = 450373248000. Its totient is φ = 30006153216.

The previous prime is 120119965027. The next prime is 120119965061. The reversal of 120119965056 is 650569911021.

It is a happy number.

120119965056 is a `hidden beast` number, since 1 + 20 + 119 + 9 + 6 + 505 + 6 = 666.

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

It is a super-2 number, since 2×120119965056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25891185 + ... + 25895823.

It is an arithmetic number, because the mean of its divisors is an integer number (781898000).

Almost surely, 2^120119965056 is an apocalyptic number.

120119965056 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 120119965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225186624000).

120119965056 is an abundant number, since it is smaller than the sum of its proper divisors (330253282944).

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

120119965056 is a wasteful number, since it uses less digits than its factorization.

120119965056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 120119965056 in words is "one hundred twenty billion, one hundred nineteen million, nine hundred sixty-five thousand, fifty-six".