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22120012200 = 2335211131032503
BaseRepresentation
bin10100100110011101…
…001001100110101000
32010002120201001021010
4110212131021212220
5330300210342300
614054540343520
71412104000326
oct244635114650
963076631233
1022120012200
119421196620
124353b44ba0
132116981620
1410dbaa0d16
15896e37a50
hex5267499a8

22120012200 has 384 divisors, whose sum is σ = 81374791680. Its totient is φ = 4899916800.

The previous prime is 22120012181. The next prime is 22120012217. The reversal of 22120012200 is 221002122.

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 95 ways as a sum of consecutive naturals, for example, 8836149 + ... + 8838651.

It is an arithmetic number, because the mean of its divisors is an integer number (211913520).

Almost surely, 222120012200 is an apocalyptic number.

22120012200 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 22120012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40687395840).

22120012200 is an abundant number, since it is smaller than the sum of its proper divisors (59254779480).

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

22120012200 is a wasteful number, since it uses less digits than its factorization.

22120012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2640 counting only the distinct ones).

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

Adding to 22120012200 its reverse (221002122), we get a palindrome (22341014322).

The spelling of 22120012200 in words is "twenty-two billion, one hundred twenty million, twelve thousand, two hundred".