120180234383040 has 224 divisors, whose sum is σ = 411073989794496. Its totient is φ = 29572025794560.

The previous prime is 120180234383029. The next prime is 120180234383161. The reversal of 120180234383040 is 40383432081021.

120180234383040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 120180234383040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32451054 + ... + 35964306.

It is an arithmetic number, because the mean of its divisors is an integer number (1835151740154).

Almost surely, 2^{120180234383040} is an apocalyptic number.

120180234383040 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 120180234383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205536994897248).

120180234383040 is an abundant number, since it is smaller than the sum of its proper divisors (290893755411456).

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

120180234383040 is a wasteful number, since it uses less digits than its factorization.

120180234383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516027 (or 3516017 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 120180234383040 in words is "one hundred twenty trillion, one hundred eighty billion, two hundred thirty-four million, three hundred eighty-three thousand, forty".