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2121110122120 = 235112835280071
BaseRepresentation
bin11110110111011100000…
…000111110111010001000
321111202221210220111201121
4132313130000332322020
5234223013142401440
64302231411125024
7306150041362063
oct36673400767210
97452853814647
102121110122120
11748615404100
122a31035a3774
13125034734722
147493b40b8da
153a29566834a
hex1eddc03ee88

2121110122120 has 96 divisors (see below), whose sum is σ = 5309006794560. Its totient is φ = 762019702400.

The previous prime is 2121110122069. The next prime is 2121110122147. The reversal of 2121110122120 is 212210111212.

It is a junction number, because it is equal to n+sod(n) for n = 2121110122094 and 2121110122103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2238316 + ... + 3041755.

It is an arithmetic number, because the mean of its divisors is an integer number (55302154110).

Almost surely, 22121110122120 is an apocalyptic number.

2121110122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121110122120 is an abundant number, since it is smaller than the sum of its proper divisors (3187896672440).

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

2121110122120 is a wasteful number, since it uses less digits than its factorization.

2121110122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280187 (or 5280172 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2121110122120 its reverse (212210111212), we get a palindrome (2333320233332).

The spelling of 2121110122120 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 121 166 220 242 332 415 440 484 605 664 830 913 968 1210 1660 1826 2420 3320 3652 4565 4840 7304 9130 10043 18260 20086 36520 40172 50215 80344 100430 200860 401720 5280071 10560142 21120284 26400355 42240568 52800710 58080781 105601420 116161562 211202840 232323124 290403905 438245893 464646248 580807810 638888591 876491786 1161615620 1277777182 1752983572 2191229465 2323231240 2555554364 3194442955 3505967144 4382458930 4820704823 5111108728 6388885910 8764917860 9641409646 12777771820 17529835720 19282819292 24103524115 25555543640 38565638584 48207048230 53027753053 96414096460 106055506106 192828192920 212111012212 265138765265 424222024424 530277530530 1060555061060 2121110122120