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112212312 = 23331473209
BaseRepresentation
bin1101011000000…
…11100101011000
321211010222100120
412230003211120
5212211243222
615045033240
72531534412
oct654034530
9254128316
10112212312
1158382853
12316b5820
131a32b324
1410c8d9b2
159cb815c
hex6b03958

112212312 has 64 divisors (see below), whose sum is σ = 295833600. Its totient is φ = 35416320.

The previous prime is 112212307. The next prime is 112212371. The reversal of 112212312 is 213212211.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112212291 and 112212300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33364 + ... + 36572.

It is an arithmetic number, because the mean of its divisors is an integer number (4622400).

Almost surely, 2112212312 is an apocalyptic number.

112212312 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 112212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147916800).

112212312 is an abundant number, since it is smaller than the sum of its proper divisors (183621288).

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

112212312 is a wasteful number, since it uses less digits than its factorization.

112212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 3292 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 112212312 is about 10593.0312942047. The cubic root of 112212312 is about 482.3328451741.

Adding to 112212312 its reverse (213212211), we get a palindrome (325424523).

The spelling of 112212312 in words is "one hundred twelve million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 248 282 372 376 564 744 1128 1457 2914 3209 4371 5828 6418 8742 9627 11656 12836 17484 19254 25672 34968 38508 77016 99479 150823 198958 298437 301646 397916 452469 596874 603292 795832 904938 1193748 1206584 1809876 2387496 3619752 4675513 9351026 14026539 18702052 28053078 37404104 56106156 112212312