1112267143680 has 2560 divisors, whose sum is σ = 5017790840832. Its totient is φ = 203135385600.

The previous prime is 1112267143657. The next prime is 1112267143681. The reversal of 1112267143680 is 863417622111.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1112267143681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13400808919 + ... + 13400809001.

Almost surely, 2^{1112267143680} is an apocalyptic number.

1112267143680 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 1112267143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508895420416).

1112267143680 is an abundant number, since it is smaller than the sum of its proper divisors (3905523697152).

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

1112267143680 is a wasteful number, since it uses less digits than its factorization.

1112267143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 1112267143680 in words is "one trillion, one hundred twelve billion, two hundred sixty-seven million, one hundred forty-three thousand, six hundred eighty".