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1212011112 = 23313109157227
BaseRepresentation
bin100100000111101…
…1101001001101000
310010110121112200110
41020033131021220
54440233323422
6320133334320
742014632044
oct11017351150
93113545613
101212011112
1157216a984
12299a973a0
1316413b550
14b6d79024
157160e60c
hex483dd268

1212011112 has 128 divisors (see below), whose sum is σ = 3328617600. Its totient is φ = 365534208.

The previous prime is 1212011111. The next prime is 1212011117. The reversal of 1212011112 is 2111102121.

It is a super-2 number, since 2×12120111122 = 2937941871222953088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1212011111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5339143 + ... + 5339369.

It is an arithmetic number, because the mean of its divisors is an integer number (26004825).

Almost surely, 21212011112 is an apocalyptic number.

1212011112 is a gapful number since it is divisible by the number (12) 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 1212011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664308800).

1212011112 is an abundant number, since it is smaller than the sum of its proper divisors (2116606488).

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

1212011112 is a wasteful number, since it uses less digits than its factorization.

1212011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1212011112 is about 34813.9499626227. The cubic root of 1212011112 is about 1066.1922806342.

Adding to 1212011112 its reverse (2111102121), we get a palindrome (3323113233).

It can be divided in two parts, 12120 and 11112, that added together give a palindrome (23232).

The spelling of 1212011112 in words is "one billion, two hundred twelve million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 157 218 227 312 314 327 436 454 471 628 654 681 872 908 942 1256 1308 1362 1417 1816 1884 2041 2616 2724 2834 2951 3768 4082 4251 5448 5668 5902 6123 8164 8502 8853 11336 11804 12246 16328 17004 17113 17706 23608 24492 24743 34008 34226 35412 35639 48984 49486 51339 68452 70824 71278 74229 98972 102678 106917 136904 142556 148458 197944 205356 213834 222469 285112 296916 321659 410712 427668 444938 463307 593832 643318 667407 855336 889876 926614 964977 1286636 1334814 1389921 1779752 1853228 1929954 2573272 2669628 2779842 3706456 3859908 3884651 5339256 5559684 7719816 7769302 11119368 11653953 15538604 23307906 31077208 46615812 50500463 93231624 101000926 151501389 202001852 303002778 404003704 606005556 1212011112