1249263388800 has 1152 divisors, whose sum is σ = 5385536107200. Its totient is φ = 285467535360.

The previous prime is 1249263388777. The next prime is 1249263388829. The reversal of 1249263388800 is 88833629421.

1249263388800 is a `hidden beast` number, since 12 + 492 + 63 + 3 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 342919779 + ... + 342923421.

Almost surely, 2^{1249263388800} is an apocalyptic number.

1249263388800 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 1249263388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692768053600).

1249263388800 is an abundant number, since it is smaller than the sum of its proper divisors (4136272718400).

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

1249263388800 is an frugal number, since it uses more digits than its factorization.

1249263388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1249263388800 in words is "one trillion, two hundred forty-nine billion, two hundred sixty-three million, three hundred eighty-eight thousand, eight hundred".