112121211020 has 144 divisors (see below), whose sum is σ = 295502528160. Its totient is φ = 35419862016.

The previous prime is 112121210959. The next prime is 112121211113. The reversal of 112121211020 is 20112121211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 112121210986 and 112121211004.

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, 7241327 + ... + 7256793.

It is an arithmetic number, because the mean of its divisors is an integer number (2052100890).

Almost surely, 2^112121211020 is an apocalyptic number.

112121211020 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 112121211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147751264080).

112121211020 is an abundant number, since it is smaller than the sum of its proper divisors (183381317140).

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

112121211020 is a wasteful number, since it uses less digits than its factorization.

112121211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16072 (or 16063 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112121211020 its reverse (20112121211), we get a palindrome (132233332231).

The spelling of 112121211020 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, twenty".