120320907719040 has 1536 divisors, whose sum is σ = 512568193536000. Its totient is φ = 26569643950080.

The previous prime is 120320907719021. The next prime is 120320907719069. The reversal of 120320907719040 is 40917709023021.

120320907719040 is a `hidden beast` number, since 12 + 0 + 320 + 90 + 7 + 7 + 190 + 40 = 666.

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 191 ways as a sum of consecutive naturals, for example, 16877666196 + ... + 16877673324.

It is an arithmetic number, because the mean of its divisors is an integer number (333703251000).

Almost surely, 2^{120320907719040} is an apocalyptic number.

120320907719040 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 120320907719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256284096768000).

120320907719040 is an abundant number, since it is smaller than the sum of its proper divisors (392247285816960).

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

120320907719040 is a wasteful number, since it uses less digits than its factorization.

120320907719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7845 (or 7820 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 120320907719040 in words is "one hundred twenty trillion, three hundred twenty billion, nine hundred seven million, seven hundred nineteen thousand, forty".