20120222211100 has 288 divisors, whose sum is σ = 50520207124800. Its totient is φ = 6885580800000.

The previous prime is 20120222211091. The next prime is 20120222211139. The reversal of 20120222211100 is 111222202102.

It is a happy number.

It is a congruent number.

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, 1570781496 + ... + 1570794304.

It is an arithmetic number, because the mean of its divisors is an integer number (175417385850).

Almost surely, 2^{20120222211100} is an apocalyptic number.

20120222211100 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 20120222211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25260103562400).

20120222211100 is an abundant number, since it is smaller than the sum of its proper divisors (30399984913700).

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

20120222211100 is a wasteful number, since it uses less digits than its factorization.

20120222211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14105 (or 14098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20120222211100 its reverse (111222202102), we get a palindrome (20231444413202).

The spelling of 20120222211100 in words is "twenty trillion, one hundred twenty billion, two hundred twenty-two million, two hundred eleven thousand, one hundred".