120975091293056 has 1536 divisors, whose sum is σ = 361993980579840. Its totient is φ = 39407026176000.

The previous prime is 120975091292981. The next prime is 120975091293109. The reversal of 120975091293056 is 650392190579021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120975091292986 and 120975091293004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99732143906 + ... + 99732145118.

It is an arithmetic number, because the mean of its divisors is an integer number (235673164440).

Almost surely, 2^{120975091293056} is an apocalyptic number.

120975091293056 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 120975091293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180996990289920).

120975091293056 is an abundant number, since it is smaller than the sum of its proper divisors (241018889286784).

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

120975091293056 is a wasteful number, since it uses less digits than its factorization.

120975091293056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 59.

The spelling of 120975091293056 in words is "one hundred twenty trillion, nine hundred seventy-five billion, ninety-one million, two hundred ninety-three thousand, fifty-six".