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22121212120 = 2357200339443
BaseRepresentation
bin10100100110100001…
…101110100011011000
32010002122222000020121
4110212201232203120
5330301012241440
614055022203024
71412120125540
oct244641564330
963078860217
1022121212120
119421936097
124354423474
132116cb1837
1410dbcd4320
158970c334a
hex52686e8d8

22121212120 has 64 divisors (see below), whose sum is σ = 56912958720. Its totient is φ = 7580436864.

The previous prime is 22121212109. The next prime is 22121212121. The reversal of 22121212120 is 2121212122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22121212094 and 22121212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121212121) 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, 541119 + ... + 580561.

It is an arithmetic number, because the mean of its divisors is an integer number (889264980).

Almost surely, 222121212120 is an apocalyptic number.

22121212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121212120 is an abundant number, since it is smaller than the sum of its proper divisors (34791746600).

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

22121212120 is a wasteful number, since it uses less digits than its factorization.

22121212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41464 (or 41460 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22121212120 its reverse (2121212122), we get a palindrome (24242424242).

It can be divided in two parts, 221212 and 12120, that added together give a palindrome (233332).

The spelling of 22121212120 in words is "twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2003 4006 8012 10015 14021 16024 20030 28042 39443 40060 56084 70105 78886 80120 112168 140210 157772 197215 276101 280420 315544 394430 552202 560840 788860 1104404 1380505 1577720 2208808 2761010 5522020 11044040 79004329 158008658 316017316 395021645 553030303 632034632 790043290 1106060606 1580086580 2212121212 2765151515 3160173160 4424242424 5530303030 11060606060 22121212120