22001002110120 has 512 divisors, whose sum is σ = 76480924723200. Its totient is φ = 5048789391360.

The previous prime is 22001002110103. The next prime is 22001002110127. The reversal of 22001002110120 is 2101120010022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22001002110096 and 22001002110105.

It is not an unprimeable number, because it can be changed into a prime (22001002110127) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5422971132 + ... + 5422975188.

It is an arithmetic number, because the mean of its divisors is an integer number (149376806100).

Almost surely, 2^{22001002110120} is an apocalyptic number.

22001002110120 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 22001002110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38240462361600).

22001002110120 is an abundant number, since it is smaller than the sum of its proper divisors (54479922613080).

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

22001002110120 is a wasteful number, since it uses less digits than its factorization.

22001002110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22001002110120 its reverse (2101120010022), we get a palindrome (24102122120142).

It can be divided in two parts, 22001002 and 110120, that added together give a palindrome (22111122).

The spelling of 22001002110120 in words is "twenty-two trillion, one billion, two million, one hundred ten thousand, one hundred twenty".