112540432103040 has 128 divisors (see below), whose sum is σ = 359353074801600. Its totient is φ = 29958038577152.

The previous prime is 112540432102921. The next prime is 112540432103051. The reversal of 112540432103040 is 40301234045211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×112540432103040³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112540432102989 and 112540432103007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50414382 + ... + 52599341.

Almost surely, 2^{112540432103040} is an apocalyptic number.

112540432103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112540432103040 is an abundant number, since it is smaller than the sum of its proper divisors (246812642698560).

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

112540432103040 is a wasteful number, since it uses less digits than its factorization.

112540432103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103014314 (or 103014302 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 112540432103040 its reverse (40301234045211), we get a palindrome (152841666148251).

The spelling of 112540432103040 in words is "one hundred twelve trillion, five hundred forty billion, four hundred thirty-two million, one hundred three thousand, forty".