20112102221120 has 448 divisors, whose sum is σ = 59549622612480. Its totient is φ = 6299853815808.

The previous prime is 20112102221119. The next prime is 20112102221143. The reversal of 20112102221120 is 2112220121102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4452533102 + ... + 4452537618.

It is an arithmetic number, because the mean of its divisors is an integer number (132923264760).

Almost surely, 2^{20112102221120} is an apocalyptic number.

20112102221120 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 20112102221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29774811306240).

20112102221120 is an abundant number, since it is smaller than the sum of its proper divisors (39437520391360).

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

20112102221120 is a wasteful number, since it uses less digits than its factorization.

20112102221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20112102221120 its reverse (2112220121102), we get a palindrome (22224322342222).

The spelling of 20112102221120 in words is "twenty trillion, one hundred twelve billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".