1230507180 has 192 divisors, whose sum is σ = 4516700160. Its totient is φ = 272160000.

The previous prime is 1230507151. The next prime is 1230507181. The reversal of 1230507180 is 817050321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1230507181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111930 + ... + 122430.

It is an arithmetic number, because the mean of its divisors is an integer number (23524480).

Almost surely, 2^1230507180 is an apocalyptic number.

1230507180 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 1230507180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258350080).

1230507180 is an abundant number, since it is smaller than the sum of its proper divisors (3286192980).

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

1230507180 is a wasteful number, since it uses less digits than its factorization.

1230507180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10557 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1230507180 is about 35078.5857753701. The cubic root of 1230507180 is about 1071.5885160077.

The spelling of 1230507180 in words is "one billion, two hundred thirty million, five hundred seven thousand, one hundred eighty".