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1213112112 = 24317472673
BaseRepresentation
bin100100001001110…
…1001111100110000
310010112200110222020
41020103221330300
54441024041422
6320213111440
742030166002
oct11023517460
93115613866
101213112112
115728520a3
1229a328580
13164435724
14b7184372
157177a95c
hex484e9f30

1213112112 has 120 divisors (see below), whose sum is σ = 3395358576. Its totient is φ = 371933184.

The previous prime is 1213112083. The next prime is 1213112113. The reversal of 1213112112 is 2112113121.

It is a super-2 number, since 2×12131121122 = 2943281992562201088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1213112091 and 1213112100.

It is not an unprimeable number, because it can be changed into a prime (1213112113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1802208 + ... + 1802880.

Almost surely, 21213112112 is an apocalyptic number.

1213112112 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 1213112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697679288).

1213112112 is an abundant number, since it is smaller than the sum of its proper divisors (2182246464).

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

1213112112 is a wasteful number, since it uses less digits than its factorization.

1213112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 742 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 1213112112 is about 34829.7590000275. The cubic root of 1213112112 is about 1066.5150286177.

Adding to 1213112112 its reverse (2112113121), we get a palindrome (3325225233).

The spelling of 1213112112 in words is "one billion, two hundred thirteen million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 204 272 282 376 408 564 673 752 799 816 1128 1346 1598 2019 2209 2256 2397 2692 3196 4038 4418 4794 5384 6392 6627 8076 8836 9588 10768 11441 12784 13254 16152 17672 19176 22882 26508 31631 32304 34323 35344 37553 38352 45764 53016 63262 68646 75106 91528 94893 106032 112659 126524 137292 150212 183056 189786 225318 253048 274584 300424 379572 450636 506096 537727 549168 600848 759144 901272 1075454 1486657 1518288 1613181 1802544 2150908 2973314 3226362 4301816 4459971 5946628 6452724 8603632 8919942 11893256 12905448 17839884 23786512 25273169 25810896 35679768 50546338 71359536 75819507 101092676 151639014 202185352 303278028 404370704 606556056 1213112112