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22112220000000 = 283571328349
BaseRepresentation
bin1010000011100011001110…
…00001001010111100000000
32220021220111122001000111010
411001301213001022330000
510344241311310000000
6115010114051120520
74441361265545424
oct501614701127400
986256448030433
1022112220000000
1170558157a8879
1225915b58a3140
13c45233c59a70
14566346a96b84
152852c9cc8d50
hex141c6704af00

22112220000000 has 576 divisors, whose sum is σ = 79224758121600. Its totient is φ = 5442816000000.

The previous prime is 22112219999999. The next prime is 22112220000001. The reversal of 22112220000000 is 2221122.

It is an interprime number because it is at equal distance from previous prime (22112219999999) and next prime (22112220000001).

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112220000001) 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 63 ways as a sum of consecutive naturals, for example, 779985826 + ... + 780014174.

It is an arithmetic number, because the mean of its divisors is an integer number (137542982850).

Almost surely, 222112220000000 is an apocalyptic number.

22112220000000 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 22112220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39612379060800).

22112220000000 is an abundant number, since it is smaller than the sum of its proper divisors (57112538121600).

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

22112220000000 is an frugal number, since it uses more digits than its factorization.

22112220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28416 (or 28372 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22112220000000 its reverse (2221122), we get a palindrome (22112222221122).

The spelling of 22112220000000 in words is "twenty-two trillion, one hundred twelve billion, two hundred twenty million", and thus it is an aban number.