12027652490400 has 1152 divisors, whose sum is σ = 43372723968000. Its totient is φ = 2883289006080.

The previous prime is 12027652490363. The next prime is 12027652490411. The reversal of 12027652490400 is 409425672021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23629965346 + ... + 23629965854.

It is an arithmetic number, because the mean of its divisors is an integer number (37649934000).

Almost surely, 2^{12027652490400} is an apocalyptic number.

12027652490400 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 12027652490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21686361984000).

12027652490400 is an abundant number, since it is smaller than the sum of its proper divisors (31345071477600).

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

12027652490400 is a wasteful number, since it uses less digits than its factorization.

12027652490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 12027652490400 in words is "twelve trillion, twenty-seven billion, six hundred fifty-two million, four hundred ninety thousand, four hundred".