22012120001100 has 288 divisors, whose sum is σ = 70398534205440. Its totient is φ = 5282021212160.

The previous prime is 22012120001057. The next prime is 22012120001129. The reversal of 22012120001100 is 110002121022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266581621 + ... + 266664179.

It is an arithmetic number, because the mean of its divisors is an integer number (244439354880).

Almost surely, 2^{22012120001100} is an apocalyptic number.

22012120001100 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 22012120001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35199267102720).

22012120001100 is an abundant number, since it is smaller than the sum of its proper divisors (48386414204340).

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

22012120001100 is a wasteful number, since it uses less digits than its factorization.

22012120001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84889 (or 84882 counting only the distinct ones).

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

Adding to 22012120001100 its reverse (110002121022), we get a palindrome (22122122122122).

The spelling of 22012120001100 in words is "twenty-two trillion, twelve billion, one hundred twenty million, one thousand, one hundred".