12251671200 has 864 divisors, whose sum is σ = 49136855040. Its totient is φ = 2967321600.

The previous prime is 12251671193. The next prime is 12251671217. The reversal of 12251671200 is 217615221.

12251671200 is a `hidden beast` number, since 1 + 22 + 516 + 7 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 114501547 + ... + 114501653.

It is an arithmetic number, because the mean of its divisors is an integer number (56871360).

Almost surely, 2^12251671200 is an apocalyptic number.

12251671200 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 12251671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568427520).

12251671200 is an abundant number, since it is smaller than the sum of its proper divisors (36885183840).

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

12251671200 is a wasteful number, since it uses less digits than its factorization.

12251671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 12251671200 in words is "twelve billion, two hundred fifty-one million, six hundred seventy-one thousand, two hundred".