120392244618624 has 2048 divisors, whose sum is σ = 446329896192000. Its totient is φ = 31463193968640.

The previous prime is 120392244618533. The next prime is 120392244618629. The reversal of 120392244618624 is 426816442293021.

120392244618624 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 9 + 2 + 2 + 4 + 4 + 6 + 1 + 8 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120392244618629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87685538002 + ... + 87685539374.

It is an arithmetic number, because the mean of its divisors is an integer number (217934519625).

Almost surely, 2^{120392244618624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120392244618624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223164948096000).

120392244618624 is an abundant number, since it is smaller than the sum of its proper divisors (325937651573376).

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

120392244618624 is a wasteful number, since it uses less digits than its factorization.

120392244618624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 120392244618624 in words is "one hundred twenty trillion, three hundred ninety-two billion, two hundred forty-four million, six hundred eighteen thousand, six hundred twenty-four".