22441133120 has 224 divisors, whose sum is σ = 65787641856. Its totient is φ = 7121664000.

The previous prime is 22441133119. The next prime is 22441133147. The reversal of 22441133120 is 2133114422.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1590095 + ... + 1604145.

Almost surely, 2^22441133120 is an apocalyptic number.

22441133120 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 22441133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32893820928).

22441133120 is an abundant number, since it is smaller than the sum of its proper divisors (43346508736).

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

22441133120 is a wasteful number, since it uses less digits than its factorization.

22441133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14129 (or 14119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22441133120 its reverse (2133114422), we get a palindrome (24574247542).

The spelling of 22441133120 in words is "twenty-two billion, four hundred forty-one million, one hundred thirty-three thousand, one hundred twenty".