1249443720000 has 840 divisors, whose sum is σ = 5337130271616. Its totient is φ = 273157632000.

The previous prime is 1249443719933. The next prime is 1249443720013. The reversal of 1249443720000 is 273449421.

1249443720000 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 443 + 7 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×1249443720000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57949222 + ... + 57970778.

Almost surely, 2^{1249443720000} is an apocalyptic number.

1249443720000 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 1249443720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668565135808).

1249443720000 is an abundant number, since it is smaller than the sum of its proper divisors (4087686551616).

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

1249443720000 is a wasteful number, since it uses less digits than its factorization.

1249443720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21625 (or 21597 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1249443720000 in words is "one trillion, two hundred forty-nine billion, four hundred forty-three million, seven hundred twenty thousand".