12054355200 has 648 divisors, whose sum is σ = 46774797888. Its totient is φ = 3065610240.

The previous prime is 12054355147. The next prime is 12054355213. The reversal of 12054355200 is 255345021.

It is a happy number.

12054355200 is a `hidden beast` number, since 1 + 20 + 5 + 435 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35769432 + ... + 35769768.

Almost surely, 2^12054355200 is an apocalyptic number.

12054355200 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 12054355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23387398944).

12054355200 is an abundant number, since it is smaller than the sum of its proper divisors (34720442688).

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

12054355200 is an equidigital number, since it uses as much as digits as its factorization.

12054355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 12054355200 in words is "twelve billion, fifty-four million, three hundred fifty-five thousand, two hundred".