22133120300000 has 144 divisors (see below), whose sum is σ = 55120962126384. Its totient is φ = 8746579200000.

The previous prime is 22133120299967. The next prime is 22133120300009. The reversal of 22133120300000 is 302133122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133120300009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6966680 + ... + 9633320.

It is an arithmetic number, because the mean of its divisors is an integer number (382784459211).

Almost surely, 2^{22133120300000} is an apocalyptic number.

22133120300000 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 22133120300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560481063192).

22133120300000 is an abundant number, since it is smaller than the sum of its proper divisors (32987841826384).

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

22133120300000 is an frugal number, since it uses more digits than its factorization.

22133120300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666759 (or 2666731 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 22133120300000 its reverse (302133122), we get a palindrome (22133422433122).

The spelling of 22133120300000 in words is "twenty-two trillion, one hundred thirty-three billion, one hundred twenty million, three hundred thousand".