128613120 has 72 divisors (see below), whose sum is σ = 410770416. Its totient is φ = 34295808.

The previous prime is 128613091. The next prime is 128613127. The reversal of 128613120 is 21316821.

It is a super-2 number, since 2×128613120² = 33082669272268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (128613127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12907 + ... + 20586.

Almost surely, 2^128613120 is an apocalyptic number.

128613120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128613120 is an abundant number, since it is smaller than the sum of its proper divisors (282157296).

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

128613120 is an equidigital number, since it uses as much as digits as its factorization.

128613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33517 (or 33503 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 128613120 is about 11340.7724604632. The cubic root of 128613120 is about 504.7718081541.

Adding to 128613120 its reverse (21316821), we get a palindrome (149929941).

The spelling of 128613120 in words is "one hundred twenty-eight million, six hundred thirteen thousand, one hundred twenty".