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12333232212 = 2237477274297
BaseRepresentation
bin10110111110001111…
…00011000001010100
31011211112011010000020
423133013203001110
5200224301412322
65355451545140
7614425513140
oct133707430124
934745133006
1012333232212
1152598739a4
12248245b1b0
1312171c9852
1484dda2220
154c2b4605c
hex2df1e3054

12333232212 has 96 divisors (see below), whose sum is σ = 33642405888. Its totient is φ = 3443261184.

The previous prime is 12333232211. The next prime is 12333232213. The reversal of 12333232212 is 21223233321.

12333232212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12333232211) and next prime (12333232213).

It is a super-2 number, since 2×123332322122 (a number of 21 digits) contains 22 as substring.

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 (12333232211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2868048 + ... + 2872344.

It is an arithmetic number, because the mean of its divisors is an integer number (350441728).

Almost surely, 212333232212 is an apocalyptic number.

12333232212 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 12333232212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821202944).

12333232212 is an abundant number, since it is smaller than the sum of its proper divisors (21309173676).

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

12333232212 is a wasteful number, since it uses less digits than its factorization.

12333232212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5083 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 12333232212 its reverse (21223233321), we get a palindrome (33556465533).

The spelling of 12333232212 in words is "twelve billion, three hundred thirty-three million, two hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 727 987 1316 1454 1974 2181 2908 3948 4297 4362 5089 8594 8724 10178 12891 15267 17188 20356 25782 30079 30534 34169 51564 60158 61068 68338 90237 102507 120316 136676 180474 201959 205014 239183 360948 403918 410028 478366 605877 717549 807836 956732 1211754 1413713 1435098 2423508 2827426 2870196 3123919 4241139 5654852 6247838 8482278 9371757 12495676 16964556 18743514 21867433 37487028 43734866 65602299 87469732 131204598 146824193 262409196 293648386 440472579 587296772 880945158 1027769351 1761890316 2055538702 3083308053 4111077404 6166616106 12333232212