12402693503200 has 1152 divisors, whose sum is σ = 42321531248640. Its totient is φ = 3452461056000.

The previous prime is 12402693503171. The next prime is 12402693503209. The reversal of 12402693503200 is 230539620421.

It is a super-2 number, since 2×12402693503200² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12402693503200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12402693503209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3003798736 + ... + 3003802864.

It is an arithmetic number, because the mean of its divisors is an integer number (36737440320).

Almost surely, 2^{12402693503200} is an apocalyptic number.

12402693503200 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 12402693503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21160765624320).

12402693503200 is an abundant number, since it is smaller than the sum of its proper divisors (29918837745440).

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

12402693503200 is a wasteful number, since it uses less digits than its factorization.

12402693503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 12402693503200 in words is "twelve trillion, four hundred two billion, six hundred ninety-three million, five hundred three thousand, two hundred".