112021414020 has 240 divisors, whose sum is σ = 364140952560. Its totient is φ = 28794092544.

The previous prime is 112021413949. The next prime is 112021414067. The reversal of 112021414020 is 20414120211.

112021414020 is a `hidden beast` number, since 1 + 120 + 2 + 141 + 402 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37567742976 + 74453671044 = 193824^2 + 272862^2 .

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 = 112021413984 and 112021414002.

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, 34434714 + ... + 34437966.

It is an arithmetic number, because the mean of its divisors is an integer number (1517253969).

Almost surely, 2^112021414020 is an apocalyptic number.

112021414020 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 112021414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182070476280).

112021414020 is an abundant number, since it is smaller than the sum of its proper divisors (252119538540).

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

112021414020 is a wasteful number, since it uses less digits than its factorization.

112021414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112021414020 its reverse (20414120211), we get a palindrome (132435534231).

The spelling of 112021414020 in words is "one hundred twelve billion, twenty-one million, four hundred fourteen thousand, twenty".