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22112112000 = 273531141879
BaseRepresentation
bin10100100101111111…
…000000110110000000
32010002000211200020010
4110211333000312000
5330241200041000
614054055144520
71411646564556
oct244577006600
963060750203
1022112112000
119417790030
124351375140
132115146754
1410daa05bd6
158963c6d50
hex525fc0d80

22112112000 has 256 divisors, whose sum is σ = 79967347200. Its totient is φ = 5360384000.

The previous prime is 22112111993. The next prime is 22112112031. The reversal of 22112112000 is 21121122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507061 + ... + 548939.

It is an arithmetic number, because the mean of its divisors is an integer number (312372450).

Almost surely, 222112112000 is an apocalyptic number.

22112112000 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 22112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39983673600).

22112112000 is an abundant number, since it is smaller than the sum of its proper divisors (57855235200).

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

22112112000 is a wasteful number, since it uses less digits than its factorization.

22112112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41922 (or 41900 counting only the distinct ones).

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

Adding to 22112112000 its reverse (21121122), we get a palindrome (22133233122).

The spelling of 22112112000 in words is "twenty-two billion, one hundred twelve million, one hundred twelve thousand".