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21222322120 = 2356126333071
BaseRepresentation
bin10011110000111100…
…101110111111001000
32000210000112122222101
4103300330232333020
5321430403301440
613425512003144
71350623522146
oct236074567710
960700478871
1021222322120
1190004a179a
1241433904b4
1320029b646c
141054786596
1584321569a
hex4f0f2efc8

21222322120 has 64 divisors (see below), whose sum is σ = 48719024640. Its totient is φ = 8317766400.

The previous prime is 21222322067. The next prime is 21222322139. The reversal of 21222322120 is 2122322212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625185 + ... + 658255.

It is an arithmetic number, because the mean of its divisors is an integer number (761234760).

Almost surely, 221222322120 is an apocalyptic number.

21222322120 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 21222322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24359512320).

21222322120 is an abundant number, since it is smaller than the sum of its proper divisors (27496702520).

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

21222322120 is a wasteful number, since it uses less digits than its factorization.

21222322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33406 (or 33402 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21222322120 its reverse (2122322212), we get a palindrome (23344644332).

The spelling of 21222322120 in words is "twenty-one billion, two hundred twenty-two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 263 305 488 526 610 1052 1220 1315 2104 2440 2630 5260 10520 16043 32086 33071 64172 66142 80215 128344 132284 160430 165355 264568 320860 330710 641720 661420 1322840 2017331 4034662 8069324 8697673 10086655 16138648 17395346 20173310 34790692 40346620 43488365 69581384 80693240 86976730 173953460 347906920 530558053 1061116106 2122232212 2652790265 4244464424 5305580530 10611161060 21222322120