22123123021200 has 240 divisors, whose sum is σ = 72527959431360. Its totient is φ = 5762565519360.

The previous prime is 22123123021163. The next prime is 22123123021201. The reversal of 22123123021200 is 212032132122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×22123123021200³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22123123021201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10120462 + ... + 12110738.

It is an arithmetic number, because the mean of its divisors is an integer number (302199830964).

Almost surely, 2^{22123123021200} is an apocalyptic number.

22123123021200 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 22123123021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36263979715680).

22123123021200 is an abundant number, since it is smaller than the sum of its proper divisors (50404836410160).

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

22123123021200 is a wasteful number, since it uses less digits than its factorization.

22123123021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990514 (or 1990503 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22123123021200 its reverse (212032132122), we get a palindrome (22335155153322).

The spelling of 22123123021200 in words is "twenty-two trillion, one hundred twenty-three billion, one hundred twenty-three million, twenty-one thousand, two hundred".