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22120333312 = 2157112797
BaseRepresentation
bin10100100110011110…
…011000000000000000
32010002121022100202011
4110212132120000000
5330300301131222
614054551302304
71412106505450
oct244636300000
963077270664
1022120333312
119421395900
12435407a994
132116a6482c
1410dbb45d60
15896e9cc77
hex526798000

22120333312 has 192 divisors, whose sum is σ = 55643933520. Its totient is φ = 8607498240.

The previous prime is 22120333289. The next prime is 22120333327. The reversal of 22120333312 is 21333302122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27754098 + ... + 27754894.

Almost surely, 222120333312 is an apocalyptic number.

22120333312 is a gapful number since it is divisible by the number (22) 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 22120333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27821966760).

22120333312 is an abundant number, since it is smaller than the sum of its proper divisors (33523600208).

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

22120333312 is an frugal number, since it uses more digits than its factorization.

22120333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 22120333312 its reverse (21333302122), we get a palindrome (43453635434).

The spelling of 22120333312 in words is "twenty-two billion, one hundred twenty million, three hundred thirty-three thousand, three hundred twelve".