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12233312112 = 2437151241117
BaseRepresentation
bin10110110010010100…
…11000011101110000
31011120120010122101210
423121022120131300
5200023211441422
65341522200120
7612103302660
oct133112303560
934516118353
1012233312112
1152084274aa
122454ab3040
1311cc5b3528
148409d21a0
154b8eaa10c
hex2d9298770

12233312112 has 80 divisors (see below), whose sum is σ = 36356736512. Its totient is φ = 3472070400.

The previous prime is 12233312111. The next prime is 12233312123. The reversal of 12233312112 is 21121333221.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233312111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69823 + ... + 171294.

Almost surely, 212233312112 is an apocalyptic number.

12233312112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12233312112 is an abundant number, since it is smaller than the sum of its proper divisors (24123424400).

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

12233312112 is a wasteful number, since it uses less digits than its factorization.

12233312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241286 (or 241280 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 12233312112 its reverse (21121333221), we get a palindrome (33354645333).

The spelling of 12233312112 in words is "twelve billion, two hundred thirty-three million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 151 168 302 336 453 604 906 1057 1208 1812 2114 2416 3171 3624 4228 6342 7248 8456 12684 16912 25368 50736 241117 482234 723351 964468 1446702 1687819 1928936 2893404 3375638 3857872 5063457 5786808 6751276 10126914 11573616 13502552 20253828 27005104 36408667 40507656 72817334 81015312 109226001 145634668 218452002 254860669 291269336 436904004 509721338 582538672 764582007 873808008 1019442676 1529164014 1747616016 2038885352 3058328028 4077770704 6116656056 12233312112