120397956480 has 384 divisors, whose sum is σ = 436308949440. Its totient is φ = 30534451200.

The previous prime is 120397956473. The next prime is 120397956551. The reversal of 120397956480 is 84659793021.

120397956480 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 9 + 79 + 564 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×120397956480³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23976370 + ... + 23981390.

It is a 1-persistent number, because it is pandigital, but 2⋅120397956480 = 240795912960 is not.

Almost surely, 2^120397956480 is an apocalyptic number.

120397956480 is a gapful number since it is divisible by the number (10) 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 120397956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218154474720).

120397956480 is an abundant number, since it is smaller than the sum of its proper divisors (315910992960).

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

120397956480 is a wasteful number, since it uses less digits than its factorization.

120397956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5235 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 120397956480 in words is "one hundred twenty billion, three hundred ninety-seven million, nine hundred fifty-six thousand, four hundred eighty".