120112100220 has 384 divisors, whose sum is σ = 420699267072. Its totient is φ = 24979046400.

The previous prime is 120112100219. The next prime is 120112100243. The reversal of 120112100220 is 22001211021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120112100196 and 120112100205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33077805 + ... + 33081435.

It is an arithmetic number, because the mean of its divisors is an integer number (1095571008).

Almost surely, 2^120112100220 is an apocalyptic number.

120112100220 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 120112100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210349633536).

120112100220 is an abundant number, since it is smaller than the sum of its proper divisors (300587166852).

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

120112100220 is a wasteful number, since it uses less digits than its factorization.

120112100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120112100220 its reverse (22001211021), we get a palindrome (142113311241).

The spelling of 120112100220 in words is "one hundred twenty billion, one hundred twelve million, one hundred thousand, two hundred twenty".