12011490400 has 288 divisors, whose sum is σ = 36380171520. Its totient is φ = 3770910720.

The previous prime is 12011490389. The next prime is 12011490409. The reversal of 12011490400 is 409411021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011490409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10118607 + ... + 10119793.

It is an arithmetic number, because the mean of its divisors is an integer number (126320040).

Almost surely, 2^12011490400 is an apocalyptic number.

12011490400 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 12011490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18190085760).

12011490400 is an abundant number, since it is smaller than the sum of its proper divisors (24368681120).

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

12011490400 is a wasteful number, since it uses less digits than its factorization.

12011490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 12011490400 in words is "twelve billion, eleven million, four hundred ninety thousand, four hundred".