112302001440 has 72 divisors (see below), whose sum is σ = 383230584828. Its totient is φ = 29947200000.

The previous prime is 112302001429. The next prime is 112302001447. The reversal of 112302001440 is 44100203211.

112302001440 is a `hidden beast` number, since 1 + 1 + 23 + 0 + 200 + 1 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109796798736 + 2505202704 = 331356^2 + 50052^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×112302001440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112302001447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38992311 + ... + 38995190.

Almost surely, 2^112302001440 is an apocalyptic number.

112302001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112302001440 is an abundant number, since it is smaller than the sum of its proper divisors (270928583388).

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

112302001440 is a wasteful number, since it uses less digits than its factorization.

112302001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77987522 (or 77987511 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112302001440 its reverse (44100203211), we get a palindrome (156402204651).

The spelling of 112302001440 in words is "one hundred twelve billion, three hundred two million, one thousand, four hundred forty".