22010032133120 has 176 divisors, whose sum is σ = 54628343859600. Its totient is φ = 8498958827520.

The previous prime is 22010032133069. The next prime is 22010032133153. The reversal of 22010032133120 is 2133123001022.

It can be written as a sum of positive squares in 8 ways, for example, as 2718119363584 + 19291912769536 = 1648672^2 + 4392256^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22010032133092 and 22010032133101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315672916 + ... + 1315689644.

Almost surely, 2^{22010032133120} is an apocalyptic number.

22010032133120 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 22010032133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27314171929800).

22010032133120 is an abundant number, since it is smaller than the sum of its proper divisors (32618311726480).

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

22010032133120 is a wasteful number, since it uses less digits than its factorization.

22010032133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25644 (or 25626 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22010032133120 its reverse (2133123001022), we get a palindrome (24143155134142).

The spelling of 22010032133120 in words is "twenty-two trillion, ten billion, thirty-two million, one hundred thirty-three thousand, one hundred twenty".