1012450924800 has 864 divisors, whose sum is σ = 4287157548800. Its totient is φ = 229005066240.

The previous prime is 1012450924799. The next prime is 1012450924819. The reversal of 1012450924800 is 84290542101.

1012450924800 is a `hidden beast` number, since 1 + 0 + 124 + 50 + 9 + 2 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117326886 + ... + 117335514.

Almost surely, 2^{1012450924800} is an apocalyptic number.

1012450924800 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 1012450924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143578774400).

1012450924800 is an abundant number, since it is smaller than the sum of its proper divisors (3274706624000).

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

1012450924800 is an equidigital number, since it uses as much as digits as its factorization.

1012450924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1012450924800 in words is "one trillion, twelve billion, four hundred fifty million, nine hundred twenty-four thousand, eight hundred".