22120100020000 has 240 divisors, whose sum is σ = 54635735468160. Its totient is φ = 8812831104000.

The previous prime is 22120100019973. The next prime is 22120100020001. The reversal of 22120100020000 is 2000102122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22120100020001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7557258537 + ... + 7557261463.

It is an arithmetic number, because the mean of its divisors is an integer number (227648897784).

Almost surely, 2^{22120100020000} is an apocalyptic number.

22120100020000 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 22120100020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27317867734080).

22120100020000 is an abundant number, since it is smaller than the sum of its proper divisors (32515635448160).

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

22120100020000 is an equidigital number, since it uses as much as digits as its factorization.

22120100020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22120100020000 its reverse (2000102122), we get a palindrome (22122100122122).

The spelling of 22120100020000 in words is "twenty-two trillion, one hundred twenty billion, one hundred million, twenty thousand".