12027804296400 has 480 divisors, whose sum is σ = 43871104569600. Its totient is φ = 3127980441600.

The previous prime is 12027804296383. The next prime is 12027804296509. The reversal of 12027804296400 is 469240872021.

12027804296400 is a `hidden beast` number, since 1 + 20 + 27 + 80 + 42 + 96 + 400 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2132964781 + ... + 2132970419.

It is an arithmetic number, because the mean of its divisors is an integer number (91398134520).

Almost surely, 2^{12027804296400} is an apocalyptic number.

12027804296400 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 12027804296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21935552284800).

12027804296400 is an abundant number, since it is smaller than the sum of its proper divisors (31843300273200).

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

12027804296400 is a wasteful number, since it uses less digits than its factorization.

12027804296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10524 (or 10507 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12027804296400 in words is "twelve trillion, twenty-seven billion, eight hundred four million, two hundred ninety-six thousand, four hundred".