220112112102120 has 384 divisors, whose sum is σ = 840006326016000. Its totient is φ = 48931119249408.

The previous prime is 220112112102107. The next prime is 220112112102139. The reversal of 220112112102120 is 21201211211022.

220112112102120 is a `hidden beast` number, since 2 + 20 + 11 + 211 + 210 + 212 + 0 = 666.

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 = 220112112102093 and 220112112102102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223190742 + ... + 224174778.

It is an arithmetic number, because the mean of its divisors is an integer number (2187516474000).

Almost surely, 2^{220112112102120} is an apocalyptic number.

220112112102120 is a gapful number since it is divisible by the number (20) 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 220112112102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420003163008000).

220112112102120 is an abundant number, since it is smaller than the sum of its proper divisors (619894213913880).

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

220112112102120 is a wasteful number, since it uses less digits than its factorization.

220112112102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986497 (or 986490 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220112112102120 its reverse (21201211211022), we get a palindrome (241313323313142).

The spelling of 220112112102120 in words is "two hundred twenty trillion, one hundred twelve billion, one hundred twelve million, one hundred two thousand, one hundred twenty".