12149611200 has 252 divisors, whose sum is σ = 44783375000. Its totient is φ = 3239792640.

The previous prime is 12149611193. The next prime is 12149611211. The reversal of 12149611200 is 211694121.

12149611200 is a `hidden beast` number, since 1 + 2 + 1 + 49 + 611 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×12149611200² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373176 + ... + 404424.

Almost surely, 2^12149611200 is an apocalyptic number.

12149611200 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 12149611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391687500).

12149611200 is an abundant number, since it is smaller than the sum of its proper divisors (32633763800).

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

12149611200 is an equidigital number, since it uses as much as digits as its factorization.

12149611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31286 (or 31259 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12149611200 in words is "twelve billion, one hundred forty-nine million, six hundred eleven thousand, two hundred".