Search a number
-
+
12034233334332 = 22331110129826039
BaseRepresentation
bin1010111100011111000000…
…1100111111101000111100
31120121110110102010200011000
42233013300030333220330
53034132102213144312
641332241145130300
72351305343365656
oct257076014775074
946543412120130
1012034233334332
11391a764a92650
121424394489990
13693a91b32231
142d86623596d6
1515d088510adc
hexaf1f033fa3c

12034233334332 has 48 divisors (see below), whose sum is σ = 34036215494400. Its totient is φ = 3646737373680.

The previous prime is 12034233334301. The next prime is 12034233334421. The reversal of 12034233334332 is 23343333243021.

12034233334332 is a `hidden beast` number, since 1 + 20 + 34 + 233 + 3 + 343 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5064911832 + ... + 5064914207.

It is an arithmetic number, because the mean of its divisors is an integer number (709087822800).

Almost surely, 212034233334332 is an apocalyptic number.

12034233334332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12034233334332 is an abundant number, since it is smaller than the sum of its proper divisors (22001982160068).

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

12034233334332 is a wasteful number, since it uses less digits than its factorization.

12034233334332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129826063 (or 10129826055 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 36.

Adding to 12034233334332 its reverse (23343333243021), we get a palindrome (35377566577353).

The spelling of 12034233334332 in words is "twelve trillion, thirty-four billion, two hundred thirty-three million, three hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 10129826039 20259652078 30389478117 40519304156 60778956234 91168434351 111428086429 121557912468 182336868702 222856172858 273505303053 334284259287 364673737404 445712345716 547010606106 668568518574 1002852777861 1094021212212 1337137037148 2005705555722 3008558333583 4011411111444 6017116667166 12034233334332