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22120000120 = 235677816839
BaseRepresentation
bin10100100110011101…
…000110101001111000
32010002120200102200201
4110212131012221320
5330300210000440
614054540211544
71412103620161
oct244635065170
963076612621
1022120000120
119421188539
124353b39bb4
132116978c8a
1410dba9a768
15896e3419a
hex526746a78

22120000120 has 32 divisors (see below), whose sum is σ = 49843576800. Its totient is φ = 8834919808.

The previous prime is 22120000093. The next prime is 22120000141. The reversal of 22120000120 is 2100002122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22120000097 and 22120000106.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 381340 + ... + 435499.

It is an arithmetic number, because the mean of its divisors is an integer number (1557611775).

Almost surely, 222120000120 is an apocalyptic number.

22120000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120000120 is an abundant number, since it is smaller than the sum of its proper divisors (27723576680).

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

22120000120 is a wasteful number, since it uses less digits than its factorization.

22120000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817527 (or 817523 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22120000120 its reverse (2100002122), we get a palindrome (24220002242).

The spelling of 22120000120 in words is "twenty-two billion, one hundred twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 677 1354 2708 3385 5416 6770 13540 27080 816839 1633678 3267356 4084195 6534712 8168390 16336780 32673560 553000003 1106000006 2212000012 2765000015 4424000024 5530000030 11060000060 22120000120