120225513040 has 80 divisors (see below), whose sum is σ = 284435544960. Its totient is φ = 47246261760.

The previous prime is 120225513007. The next prime is 120225513049. The reversal of 120225513040 is 40315522021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120225512996 and 120225513014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120225513049) 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, 8777077 + ... + 8790763.

It is an arithmetic number, because the mean of its divisors is an integer number (3555444312).

Almost surely, 2^120225513040 is an apocalyptic number.

120225513040 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 120225513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142217772480).

120225513040 is an abundant number, since it is smaller than the sum of its proper divisors (164210031920).

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

120225513040 is a wasteful number, since it uses less digits than its factorization.

120225513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15620 (or 15614 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 120225513040 in words is "one hundred twenty billion, two hundred twenty-five million, five hundred thirteen thousand, forty".