112141751040 has 432 divisors, whose sum is σ = 436940614656. Its totient is φ = 26307993600.

The previous prime is 112141751017. The next prime is 112141751063. The reversal of 112141751040 is 40157141211.

112141751040 is a `hidden beast` number, since 1 + 1 + 2 + 141 + 7 + 510 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112141751017) and next prime (112141751063).

It is a junction number, because it is equal to n+sod(n) for n = 112141750995 and 112141751013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3914047 + ... + 3942593.

It is an arithmetic number, because the mean of its divisors is an integer number (1011436608).

Almost surely, 2^112141751040 is an apocalyptic number.

112141751040 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 112141751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218470307328).

112141751040 is an abundant number, since it is smaller than the sum of its proper divisors (324798863616).

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

112141751040 is a wasteful number, since it uses less digits than its factorization.

112141751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28616 (or 28599 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 112141751040 its reverse (40157141211), we get a palindrome (152298892251).

The spelling of 112141751040 in words is "one hundred twelve billion, one hundred forty-one million, seven hundred fifty-one thousand, forty".