112132021320 has 288 divisors, whose sum is σ = 401087264760. Its totient is φ = 27148492800.

The previous prime is 112132021241. The next prime is 112132021321. The reversal of 112132021320 is 23120231211.

112132021320 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 320 + 21 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95855875236 + 16276146084 = 309606^2 + 127578^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 112132021293 and 112132021302.

It is not an unprimeable number, because it can be changed into a prime (112132021321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53882680 + ... + 53884760.

Almost surely, 2^112132021320 is an apocalyptic number.

112132021320 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 112132021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200543632380).

112132021320 is an abundant number, since it is smaller than the sum of its proper divisors (288955243440).

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

112132021320 is a wasteful number, since it uses less digits than its factorization.

112132021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112132021320 its reverse (23120231211), we get a palindrome (135252252531).

The spelling of 112132021320 in words is "one hundred twelve billion, one hundred thirty-two million, twenty-one thousand, three hundred twenty".