220022122012000 has 576 divisors, whose sum is σ = 686900252892672. Its totient is φ = 68490656640000.

The previous prime is 220022122011983. The next prime is 220022122012003. The reversal of 220022122012000 is 210221220022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220022122012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1696707165 + ... + 1696836835.

It is an arithmetic number, because the mean of its divisors is an integer number (1192535161272).

Almost surely, 2^{220022122012000} is an apocalyptic number.

220022122012000 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 220022122012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343450126446336).

220022122012000 is an abundant number, since it is smaller than the sum of its proper divisors (466878130880672).

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

220022122012000 is a wasteful number, since it uses less digits than its factorization.

220022122012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130508 (or 130483 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220022122012000 its reverse (210221220022), we get a palindrome (220232343232022).

The spelling of 220022122012000 in words is "two hundred twenty trillion, twenty-two billion, one hundred twenty-two million, twelve thousand".