120588389349120 has 1728 divisors, whose sum is σ = 556844906741760. Its totient is φ = 24248877465600.

The previous prime is 120588389349061. The next prime is 120588389349121. The reversal of 120588389349120 is 21943983885021.

120588389349120 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 8 + 8 + 38 + 93 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120588389349121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 742371271 + ... + 742533689.

It is an arithmetic number, because the mean of its divisors is an integer number (322248209920).

Almost surely, 2^{120588389349120} is an apocalyptic number.

120588389349120 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 120588389349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278422453370880).

120588389349120 is an abundant number, since it is smaller than the sum of its proper divisors (436256517392640).

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

120588389349120 is a wasteful number, since it uses less digits than its factorization.

120588389349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162504 (or 162478 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 120588389349120 in words is "one hundred twenty trillion, five hundred eighty-eight billion, three hundred eighty-nine million, three hundred forty-nine thousand, one hundred twenty".