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22120122120 = 2335238014537
BaseRepresentation
bin10100100110011101…
…100100011100001000
32010002120220122001020
4110212131210130020
5330300222401440
614054542552440
71412104635645
oct244635443410
963076818036
1022120122120
119421261168
124353b98720
1321169bc675
1410dbaccdcc
15896e5a3d0
hex526764708

22120122120 has 64 divisors (see below), whose sum is σ = 69245608320. Its totient is φ = 5642233344.

The previous prime is 22120122113. The next prime is 22120122121. The reversal of 22120122120 is 2122102122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22120122120.

It is not an unprimeable number, because it can be changed into a prime (22120122121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4004509 + ... + 4010028.

It is an arithmetic number, because the mean of its divisors is an integer number (1081962630).

Almost surely, 222120122120 is an apocalyptic number.

22120122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120122120 is an abundant number, since it is smaller than the sum of its proper divisors (47125486200).

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

22120122120 is a wasteful number, since it uses less digits than its factorization.

22120122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014574 (or 8014570 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22120122120 its reverse (2122102122), we get a palindrome (24242224242).

The spelling of 22120122120 in words is "twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 8014537 16029074 24043611 32058148 40072685 48087222 64116296 80145370 96174444 120218055 160290740 184334351 192348888 240436110 320581480 368668702 480872220 553003053 737337404 921671755 961744440 1106006106 1474674808 1843343510 2212012212 2765015265 3686687020 4424024424 5530030530 7373374040 11060061060 22120122120