12949153800 has 288 divisors, whose sum is σ = 44421531840. Its totient is φ = 3118016000.

The previous prime is 12949153751. The next prime is 12949153823. The reversal of 12949153800 is 835194921.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12559285 + ... + 12560315.

It is an arithmetic number, because the mean of its divisors is an integer number (154241430).

Almost surely, 2^12949153800 is an apocalyptic number.

12949153800 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 12949153800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22210765920).

12949153800 is an abundant number, since it is smaller than the sum of its proper divisors (31472378040).

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

12949153800 is a wasteful number, since it uses less digits than its factorization.

12949153800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 12949153800 in words is "twelve billion, nine hundred forty-nine million, one hundred fifty-three thousand, eight hundred".