120130920 has 384 divisors, whose sum is σ = 508435200. Its totient is φ = 23887872.

The previous prime is 120130877. The next prime is 120130931. The reversal of 120130920 is 29031021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120130893 and 120130902.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622344 + ... + 622536.

It is an arithmetic number, because the mean of its divisors is an integer number (1324050).

Almost surely, 2^120130920 is an apocalyptic number.

120130920 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 120130920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254217600).

120130920 is an abundant number, since it is smaller than the sum of its proper divisors (388304280).

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

120130920 is a wasteful number, since it uses less digits than its factorization.

120130920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 120130920 is about 10960.4251742348. The cubic root of 120130920 is about 493.4217254975.

Adding to 120130920 its reverse (29031021), we get a palindrome (149161941).

The spelling of 120130920 in words is "one hundred twenty million, one hundred thirty thousand, nine hundred twenty".