22133032233120 has 480 divisors, whose sum is σ = 79988356103040. Its totient is φ = 5760508078080.

The previous prime is 22133032233079. The next prime is 22133032233133. The reversal of 22133032233120 is 2133223033122.

22133032233120 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 0 + 322 + 331 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×22133032233120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 769589301 + ... + 769618059.

It is an arithmetic number, because the mean of its divisors is an integer number (166642408548).

Almost surely, 2^{22133032233120} is an apocalyptic number.

22133032233120 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 22133032233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39994178051520).

22133032233120 is an abundant number, since it is smaller than the sum of its proper divisors (57855323869920).

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

22133032233120 is a wasteful number, since it uses less digits than its factorization.

22133032233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30210 (or 30193 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 22133032233120 its reverse (2133223033122), we get a palindrome (24266255266242).

The spelling of 22133032233120 in words is "twenty-two trillion, one hundred thirty-three billion, thirty-two million, two hundred thirty-three thousand, one hundred twenty".