1125126662400 has 648 divisors, whose sum is σ = 4393232940096. Its totient is φ = 273040588800.

The previous prime is 1125126662377. The next prime is 1125126662431. The reversal of 1125126662400 is 42666215211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53154219 + ... + 53175381.

Almost surely, 2^{1125126662400} is an apocalyptic number.

1125126662400 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 1125126662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196616470048).

1125126662400 is an abundant number, since it is smaller than the sum of its proper divisors (3268106277696).

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

1125126662400 is a wasteful number, since it uses less digits than its factorization.

1125126662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21279 (or 21257 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1125126662400 in words is "one trillion, one hundred twenty-five billion, one hundred twenty-six million, six hundred sixty-two thousand, four hundred".