112121020 has 72 divisors (see below), whose sum is σ = 261826992. Its totient is φ = 40296960.

The previous prime is 112121003. The next prime is 112121027. The reversal of 112121020 is 20121211.

It is a super-2 number, since 2×112121020² = 25142246251680800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 112120988 and 112121006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258724 + ... + 259156.

It is an arithmetic number, because the mean of its divisors is an integer number (3636486).

Almost surely, 2^112121020 is an apocalyptic number.

112121020 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 112121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130913496).

112121020 is an abundant number, since it is smaller than the sum of its proper divisors (149705972).

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

112121020 is a wasteful number, since it uses less digits than its factorization.

112121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 112121020 is about 10588.7213581244. The cubic root of 112121020 is about 482.2020066592.

Adding to 112121020 its reverse (20121211), we get a palindrome (132242231).

The spelling of 112121020 in words is "one hundred twelve million, one hundred twenty-one thousand, twenty".