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2222221102120 = 2351753229269257
BaseRepresentation
bin100000010101100110101…
…100110000110000101000
321212102221102001111000201
4200111212230300300220
5242402102100231440
64420512502241544
7316356465464245
oct40254654606050
97772842044021
102222221102120
11787490973998
122ba8214262b4
1313172946a786
14797adc285cc
153cc121a719a
hex20566b30c28

2222221102120 has 128 divisors (see below), whose sum is σ = 5417578663200. Its totient is φ = 817228578816.

The previous prime is 2222221102117. The next prime is 2222221102139. The reversal of 2222221102120 is 212011222222.

It can be written as a sum of positive squares in 16 ways, for example, as 508965242724 + 1713255859396 = 713418^2 + 1308914^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8118532 + ... + 8387788.

Almost surely, 22222221102120 is an apocalyptic number.

2222221102120 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 2222221102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708789331600).

2222221102120 is an abundant number, since it is smaller than the sum of its proper divisors (3195357561080).

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

2222221102120 is a wasteful number, since it uses less digits than its factorization.

2222221102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269567 (or 269563 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2222221102120 its reverse (212011222222), we get a palindrome (2434232324342).

The spelling of 2222221102120 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 229 265 340 424 458 530 680 901 916 1060 1145 1802 1832 2120 2290 3604 3893 4505 4580 7208 7786 9010 9160 12137 15572 18020 19465 24274 31144 36040 38930 48548 60685 77860 97096 121370 155720 206329 242740 269257 412658 485480 538514 825316 1031645 1077028 1346285 1650632 2063290 2154056 2692570 4126580 4577369 5385140 8253160 9154738 10770280 14270621 18309476 22886845 28541242 36618952 45773690 57082484 61659853 71353105 91547380 114164968 123319706 142706210 183094760 242600557 246639412 285412420 308299265 485201114 493278824 570824840 616598530 970402228 1048217501 1213002785 1233197060 1940804456 2096435002 2426005570 2466394120 3267972209 4192870004 4852011140 5241087505 6535944418 8385740008 9704022280 10482175010 13071888836 16339861045 20964350020 26143777672 32679722090 41928700040 55555527553 65359444180 111111055106 130718888360 222222110212 277777637765 444444220424 555555275530 1111110551060 2222221102120