1122188344992 has 768 divisors, whose sum is σ = 4029465968640. Its totient is φ = 299170713600.

The previous prime is 1122188344969. The next prime is 1122188344997. The reversal of 1122188344992 is 2994438812211.

1122188344992 is a `hidden beast` number, since 1 + 1 + 22 + 18 + 83 + 449 + 92 = 666.

It is a super-2 number, since 2×1122188344992² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (1122188344997) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 256615318 + ... + 256619690.

It is an arithmetic number, because the mean of its divisors is an integer number (5246700480).

Almost surely, 2^{1122188344992} is an apocalyptic number.

1122188344992 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 1122188344992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014732984320).

1122188344992 is an abundant number, since it is smaller than the sum of its proper divisors (2907277623648).

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

1122188344992 is a wasteful number, since it uses less digits than its factorization.

1122188344992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514 (or 4500 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 1122188344992 in words is "one trillion, one hundred twenty-two billion, one hundred eighty-eight million, three hundred forty-four thousand, nine hundred ninety-two".