12210100120 has 128 divisors (see below), whose sum is σ = 28673326080. Its totient is φ = 4675968000.

The previous prime is 12210100109. The next prime is 12210100127. The reversal of 12210100120 is 2100101221.

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 = 12210100097 and 12210100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210100127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36888355 + ... + 36888685.

It is an arithmetic number, because the mean of its divisors is an integer number (224010360).

Almost surely, 2^12210100120 is an apocalyptic number.

12210100120 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 12210100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336663040).

12210100120 is an abundant number, since it is smaller than the sum of its proper divisors (16463225960).

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

12210100120 is a wasteful number, since it uses less digits than its factorization.

12210100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

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

Adding to 12210100120 its reverse (2100101221), we get a palindrome (14310201341).

The spelling of 12210100120 in words is "twelve billion, two hundred ten million, one hundred thousand, one hundred twenty".