1249307685120 has 1152 divisors, whose sum is σ = 4885224099840. Its totient is φ = 268346327040.

The previous prime is 1249307685091. The next prime is 1249307685229. The reversal of 1249307685120 is 215867039421.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1249307685120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1106560716 + ... + 1106561844.

It is an arithmetic number, because the mean of its divisors is an integer number (4240645920).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1249307685120 = 2498615370240, but 3⋅1249307685120 = 3747923055360 is not.

Almost surely, 2^{1249307685120} is an apocalyptic number.

1249307685120 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 1249307685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442612049920).

1249307685120 is an abundant number, since it is smaller than the sum of its proper divisors (3635916414720).

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

1249307685120 is a wasteful number, since it uses less digits than its factorization.

1249307685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1249307685120 in words is "one trillion, two hundred forty-nine billion, three hundred seven million, six hundred eighty-five thousand, one hundred twenty".