120742940344320 has 768 divisors, whose sum is σ = 488129321160000. Its totient is φ = 27598270758912.

The previous prime is 120742940344309. The next prime is 120742940344399. The reversal of 120742940344320 is 23443049247021.

120742940344320 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 4 + 294 + 0 + 34 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505654716 + ... + 505893444.

Almost surely, 2^{120742940344320} is an apocalyptic number.

120742940344320 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 120742940344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244064660580000).

120742940344320 is an abundant number, since it is smaller than the sum of its proper divisors (367386380815680).

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

120742940344320 is an frugal number, since it uses more digits than its factorization.

120742940344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238791 (or 238746 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 120742940344320 in words is "one hundred twenty trillion, seven hundred forty-two billion, nine hundred forty million, three hundred forty-four thousand, three hundred twenty".