12324632291400 has 384 divisors, whose sum is σ = 45183098096640. Its totient is φ = 2739692160000.

The previous prime is 12324632291381. The next prime is 12324632291509. The reversal of 12324632291400 is 419223642321.

It is a super-2 number, since 2×12324632291400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12480159 + ... + 13431441.

It is an arithmetic number, because the mean of its divisors is an integer number (117664317960).

Almost surely, 2^{12324632291400} is an apocalyptic number.

12324632291400 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 12324632291400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22591549048320).

12324632291400 is an abundant number, since it is smaller than the sum of its proper divisors (32858465805240).

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

12324632291400 is a wasteful number, since it uses less digits than its factorization.

12324632291400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951477 (or 951468 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 12324632291400 in words is "twelve trillion, three hundred twenty-four billion, six hundred thirty-two million, two hundred ninety-one thousand, four hundred".