1249972918992 has 1200 divisors, whose sum is σ = 4633625304000. Its totient is φ = 323059580928.

The previous prime is 1249972918919. The next prime is 1249972919017. The reversal of 1249972918992 is 2998192799421.

1249972918992 is a `hidden beast` number, since 1 + 249 + 9 + 7 + 291 + 8 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1249972918992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4863707728 + ... + 4863707984.

It is an arithmetic number, because the mean of its divisors is an integer number (3861354420).

Almost surely, 2^{1249972918992} is an apocalyptic number.

1249972918992 is a gapful number since it is divisible by the number (12) 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 1249972918992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316812652000).

1249972918992 is an abundant number, since it is smaller than the sum of its proper divisors (3383652385008).

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

1249972918992 is a wasteful number, since it uses less digits than its factorization.

1249972918992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 456 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 72.

The spelling of 1249972918992 in words is "one trillion, two hundred forty-nine billion, nine hundred seventy-two million, nine hundred eighteen thousand, nine hundred ninety-two".