120005521040 has 80 divisors (see below), whose sum is σ = 290983042560. Its totient is φ = 45974753280.

The previous prime is 120005521039. The next prime is 120005521043. The reversal of 120005521040 is 40125500021.

120005521040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (120005521043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8870 + ... + 489989.

It is an arithmetic number, because the mean of its divisors is an integer number (3637288032).

Almost surely, 2^120005521040 is an apocalyptic number.

120005521040 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 120005521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145491521280).

120005521040 is an abundant number, since it is smaller than the sum of its proper divisors (170977521520).

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

120005521040 is a wasteful number, since it uses less digits than its factorization.

120005521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499000 (or 498994 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 120005521040 in words is "one hundred twenty billion, five million, five hundred twenty-one thousand, forty".