12126255865200 has 480 divisors, whose sum is σ = 43298955921600. Its totient is φ = 3223314432000.

The previous prime is 12126255865151. The next prime is 12126255865201. The reversal of 12126255865200 is 256855262121.

12126255865200 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 62 + 5 + 586 + 5 + 2 + 0 + 0 = 666.

12126255865200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12126255865201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5827128160 + ... + 5827130240.

It is an arithmetic number, because the mean of its divisors is an integer number (90206158170).

Almost surely, 2^{12126255865200} is an apocalyptic number.

12126255865200 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 12126255865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21649477960800).

12126255865200 is an abundant number, since it is smaller than the sum of its proper divisors (31172700056400).

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

12126255865200 is a wasteful number, since it uses less digits than its factorization.

12126255865200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 12126255865200 in words is "twelve trillion, one hundred twenty-six billion, two hundred fifty-five million, eight hundred sixty-five thousand, two hundred".