12140247859200 has 900 divisors, whose sum is σ = 45171030291772. Its totient is φ = 3223270195200.

The previous prime is 12140247859199. The next prime is 12140247859211. The reversal of 12140247859200 is 295874204121.

12140247859200 is a `hidden beast` number, since 1 + 2 + 14 + 0 + 2 + 47 + 8 + 592 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 52554645504 + 12087693213696 = 229248^2 + 3476736^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9190194540 + ... + 9190195860.

Almost surely, 2^{12140247859200} is an apocalyptic number.

12140247859200 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 12140247859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585515145886).

12140247859200 is an abundant number, since it is smaller than the sum of its proper divisors (33030782432572).

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

12140247859200 is an equidigital number, since it uses as much as digits as its factorization.

12140247859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12140247859200 in words is "twelve trillion, one hundred forty billion, two hundred forty-seven million, eight hundred fifty-nine thousand, two hundred".