12234946651200 has 2520 divisors, whose sum is σ = 55297187295168. Its totient is φ = 2550239354880.

The previous prime is 12234946651159. The next prime is 12234946651211. The reversal of 12234946651200 is 215664943221.

12234946651200 is a `hidden beast` number, since 1 + 2 + 2 + 349 + 46 + 65 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×12234946651200² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 73263153517 + ... + 73263153683.

Almost surely, 2^{12234946651200} is an apocalyptic number.

12234946651200 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 12234946651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648593647584).

12234946651200 is an abundant number, since it is smaller than the sum of its proper divisors (43062240643968).

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

12234946651200 is a wasteful number, since it uses less digits than its factorization.

12234946651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12234946651200 in words is "twelve trillion, two hundred thirty-four billion, nine hundred forty-six million, six hundred fifty-one thousand, two hundred".