22012110120000 has 4480 divisors, whose sum is σ = 103659778252800. Its totient is φ = 3973939200000.

The previous prime is 22012110119999. The next prime is 22012110120023. The reversal of 22012110120000 is 2101121022.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 247327079956 + ... + 247327080044.

It is an arithmetic number, because the mean of its divisors is an integer number (23138343360).

Almost surely, 2^{22012110120000} is an apocalyptic number.

22012110120000 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 22012110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51829889126400).

22012110120000 is an abundant number, since it is smaller than the sum of its proper divisors (81647668132800).

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

22012110120000 is a wasteful number, since it uses less digits than its factorization.

22012110120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 230 counting only the distinct ones).

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

Adding to 22012110120000 its reverse (2101121022), we get a palindrome (22014211241022).

The spelling of 22012110120000 in words is "twenty-two trillion, twelve billion, one hundred ten million, one hundred twenty thousand".