20120110122112 has 1152 divisors, whose sum is σ = 58725774576000. Its totient is φ = 6802372362240.

The previous prime is 20120110122103. The next prime is 20120110122113. The reversal of 20120110122112 is 21122101102102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20120110122113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23587467478 + ... + 23587468330.

It is an arithmetic number, because the mean of its divisors is an integer number (50977234875).

Almost surely, 2^{20120110122112} is an apocalyptic number.

20120110122112 is a gapful number since it is divisible by the number (22) 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 20120110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29362887288000).

20120110122112 is an abundant number, since it is smaller than the sum of its proper divisors (38605664453888).

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

20120110122112 is a wasteful number, since it uses less digits than its factorization.

20120110122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20120110122112 its reverse (21122101102102), we get a palindrome (41242211224214).

The spelling of 20120110122112 in words is "twenty trillion, one hundred twenty billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".