12258013800 has 192 divisors, whose sum is σ = 39322483200. Its totient is φ = 3155558400.

The previous prime is 12258013793. The next prime is 12258013819. The reversal of 12258013800 is 831085221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14302972 + ... + 14303828.

It is an arithmetic number, because the mean of its divisors is an integer number (204804600).

Almost surely, 2^12258013800 is an apocalyptic number.

12258013800 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 12258013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661241600).

12258013800 is an abundant number, since it is smaller than the sum of its proper divisors (27064469400).

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

12258013800 is a wasteful number, since it uses less digits than its factorization.

12258013800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 12258013800 in words is "twelve billion, two hundred fifty-eight million, thirteen thousand, eight hundred".