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12322133112 = 2334173171541
BaseRepresentation
bin10110111100111010…
…01101010001111000
31011210202021012220110
423132131031101320
5200213431224422
65354414024320
7614232255222
oct133635152170
934722235813
1012322133112
115253582a93
12247a7a80a0
131214b11933
1484c713412
154c1ba260c
hex2de74d478

12322133112 has 64 divisors (see below), whose sum is σ = 31989152160. Its totient is φ = 3952281600.

The previous prime is 12322133107. The next prime is 12322133123. The reversal of 12322133112 is 21133122321.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13939 + ... + 157602.

Almost surely, 212322133112 is an apocalyptic number.

12322133112 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 12322133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15994576080).

12322133112 is an abundant number, since it is smaller than the sum of its proper divisors (19667019048).

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

12322133112 is a wasteful number, since it uses less digits than its factorization.

12322133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171664 (or 171660 counting only the distinct ones).

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

Adding to 12322133112 its reverse (21133122321), we get a palindrome (33455255433).

The spelling of 12322133112 in words is "twelve billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 73 82 123 146 164 219 246 292 328 438 492 584 876 984 1752 2993 5986 8979 11972 17958 23944 35916 71832 171541 343082 514623 686164 1029246 1372328 2058492 4116984 7033181 12522493 14066362 21099543 25044986 28132724 37567479 42199086 50089972 56265448 75134958 84398172 100179944 150269916 168796344 300539832 513422213 1026844426 1540266639 2053688852 3080533278 4107377704 6161066556 12322133112