120230013120 has 448 divisors, whose sum is σ = 452451557376. Its totient is φ = 26469826560.

The previous prime is 120230013107. The next prime is 120230013139. The reversal of 120230013120 is 21310032021.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120230013120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48537322 + ... + 48539798.

It is an arithmetic number, because the mean of its divisors is an integer number (1009936512).

Almost surely, 2^120230013120 is an apocalyptic number.

120230013120 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 120230013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226225778688).

120230013120 is an abundant number, since it is smaller than the sum of its proper divisors (332221544256).

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

120230013120 is a wasteful number, since it uses less digits than its factorization.

120230013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120230013120 its reverse (21310032021), we get a palindrome (141540045141).

The spelling of 120230013120 in words is "one hundred twenty billion, two hundred thirty million, thirteen thousand, one hundred twenty".