1249045855200 has 2016 divisors, whose sum is σ = 5693414160672. Its totient is φ = 262766592000.

The previous prime is 1249045855193. The next prime is 1249045855207. The reversal of 1249045855200 is 25585409421.

1249045855200 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 0 + 45 + 85 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1249045855193) and next prime (1249045855207).

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 (1249045855207) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1417758760 + ... + 1417759640.

It is an arithmetic number, because the mean of its divisors is an integer number (2824114167).

Almost surely, 2^{1249045855200} is an apocalyptic number.

1249045855200 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 1249045855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846707080336).

1249045855200 is an abundant number, since it is smaller than the sum of its proper divisors (4444368305472).

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

1249045855200 is a wasteful number, since it uses less digits than its factorization.

1249045855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 932 counting only the distinct ones).

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

The spelling of 1249045855200 in words is "one trillion, two hundred forty-nine billion, forty-five million, eight hundred fifty-five thousand, two hundred".