112144456512 has 168 divisors, whose sum is σ = 371291461632. Its totient is φ = 31984128000.

The previous prime is 112144456499. The next prime is 112144456519. The reversal of 112144456512 is 215654441211.

112144456512 is a `hidden beast` number, since 1 + 12 + 144 + 456 + 51 + 2 = 666.

It is a super-2 number, since 2×112144456512² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (112144456519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412864 + ... + 628287.

It is an arithmetic number, because the mean of its divisors is an integer number (2210068224).

Almost surely, 2^112144456512 is an apocalyptic number.

112144456512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112144456512 is an abundant number, since it is smaller than the sum of its proper divisors (259147005120).

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

112144456512 is a wasteful number, since it uses less digits than its factorization.

112144456512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041197 (or 1041184 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

Adding to 112144456512 its reverse (215654441211), we get a palindrome (327798897723).

The spelling of 112144456512 in words is "one hundred twelve billion, one hundred forty-four million, four hundred fifty-six thousand, five hundred twelve".