12253910299200 has 588 divisors, whose sum is σ = 45411425649408. Its totient is φ = 3252986956800.

The previous prime is 12253910299121. The next prime is 12253910299207. The reversal of 12253910299200 is 299201935221.

12253910299200 is a `hidden beast` number, since 1 + 2 + 2 + 539 + 1 + 0 + 2 + 99 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12253910299207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 260083645 + ... + 260130755.

Almost surely, 2^{12253910299200} is an apocalyptic number.

12253910299200 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 12253910299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22705712824704).

12253910299200 is an abundant number, since it is smaller than the sum of its proper divisors (33157515350208).

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

12253910299200 is an equidigital number, since it uses as much as digits as its factorization.

12253910299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47374 (or 47344 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 12253910299200 in words is "twelve trillion, two hundred fifty-three billion, nine hundred ten million, two hundred ninety-nine thousand, two hundred".