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1210212220112 = 24761990117891
BaseRepresentation
bin10001100111000110010…
…001001111110011010000
311021200202202210122100222
4101213012101033303100
5124312003312020422
62323544103532212
7153302121066350
oct21470621176320
94250682718328
101210212220112
11427280280225
1217666975a068
138a17924a6bc
1442808930b60
1521731518842
hex119c644fcd0

1210212220112 has 80 divisors (see below), whose sum is σ = 2724113395584. Its totient is φ = 510079680000.

The previous prime is 1210212220111. The next prime is 1210212220117. The reversal of 1210212220112 is 2110222120121.

It is a super-3 number, since 3×12102122201123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210212220111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67634687 + ... + 67652577.

Almost surely, 21210212220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210212220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362056697792).

1210212220112 is an abundant number, since it is smaller than the sum of its proper divisors (1513901175472).

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

1210212220112 is a wasteful number, since it uses less digits than its factorization.

1210212220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27868 (or 27862 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1210212220112 its reverse (2110222120121), we get a palindrome (3320434340233).

Subtracting 1210212220112 from its reverse (2110222120121), we obtain a palindrome (900009900009).

The spelling of 1210212220112 in words is "one trillion, two hundred ten billion, two hundred twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 854 976 1708 3416 6832 9901 17891 19802 35782 39604 69307 71564 79208 125237 138614 143128 158416 250474 277228 286256 500948 554456 603961 1001896 1091351 1108912 1207922 2003792 2182702 2415844 4227727 4365404 4831688 7639457 8455454 8730808 9663376 15278914 16910908 17461616 30557828 33821816 61115656 67643632 122231312 177138791 354277582 708555164 1239971537 1417110328 2479943074 2834220656 4959886148 9919772296 10805466251 19839544592 21610932502 43221865004 75638263757 86443730008 151276527514 172887460016 302553055028 605106110056 1210212220112