12258784200 has 192 divisors, whose sum is σ = 40998000960. Its totient is φ = 3012203520.

The previous prime is 12258784193. The next prime is 12258784267. The reversal of 12258784200 is 248785221.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 6137602 + ... + 6139598.

It is an arithmetic number, because the mean of its divisors is an integer number (213531255).

Almost surely, 2^12258784200 is an apocalyptic number.

12258784200 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 12258784200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20499000480).

12258784200 is an abundant number, since it is smaller than the sum of its proper divisors (28739216760).

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

12258784200 is a wasteful number, since it uses less digits than its factorization.

12258784200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 12258784200 in words is "twelve billion, two hundred fifty-eight million, seven hundred eighty-four thousand, two hundred".