12298915200 has 1152 divisors, whose sum is σ = 52186659840. Its totient is φ = 2506752000.

The previous prime is 12298915193. The next prime is 12298915201. The reversal of 12298915200 is 251989221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12298915201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 396739185 + ... + 396739215.

It is an arithmetic number, because the mean of its divisors is an integer number (45300920).

Almost surely, 2^12298915200 is an apocalyptic number.

12298915200 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 12298915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26093329920).

12298915200 is an abundant number, since it is smaller than the sum of its proper divisors (39887744640).

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

12298915200 is a wasteful number, since it uses less digits than its factorization.

12298915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 12298915200 in words is "twelve billion, two hundred ninety-eight million, nine hundred fifteen thousand, two hundred".