112435077132 has 240 divisors, whose sum is σ = 347729141760. Its totient is φ = 31000579200.

The previous prime is 112435077127. The next prime is 112435077151. The reversal of 112435077132 is 231770534211.

112435077132 is a `hidden beast` number, since 1 + 12 + 4 + 3 + 507 + 7 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27347757 + ... + 27351867.

It is an arithmetic number, because the mean of its divisors is an integer number (1448871424).

Almost surely, 2^112435077132 is an apocalyptic number.

112435077132 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 112435077132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173864570880).

112435077132 is an abundant number, since it is smaller than the sum of its proper divisors (235294064628).

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

112435077132 is a wasteful number, since it uses less digits than its factorization.

112435077132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 112435077132 in words is "one hundred twelve billion, four hundred thirty-five million, seventy-seven thousand, one hundred thirty-two".