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12323211312 = 2431999128431
BaseRepresentation
bin10110111101000010…
…10100100000110000
31011210211021222220210
423132201110200300
5200214220230222
65354453104120
7614244365526
oct133641244060
934724258823
1012323211312
11525414a065
12247b028040
1312150cb619
1484c914316
154c1d16d0c
hex2de854830

12323211312 has 40 divisors (see below), whose sum is σ = 31851136000. Its totient is φ = 4105650240.

The previous prime is 12323211283. The next prime is 12323211319. The reversal of 12323211312 is 21311232321.

It is a super-3 number, since 3×123232113123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (12323211319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31737 + ... + 160167.

It is an arithmetic number, because the mean of its divisors is an integer number (796278400).

Almost surely, 212323211312 is an apocalyptic number.

12323211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12323211312 is an abundant number, since it is smaller than the sum of its proper divisors (19527924688).

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

12323211312 is a wasteful number, since it uses less digits than its factorization.

12323211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130441 (or 130435 counting only the distinct ones).

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

Adding to 12323211312 its reverse (21311232321), we get a palindrome (33634443633).

The spelling of 12323211312 in words is "twelve billion, three hundred twenty-three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1999 3998 5997 7996 11994 15992 23988 31984 47976 95952 128431 256862 385293 513724 770586 1027448 1541172 2054896 3082344 6164688 256733569 513467138 770200707 1026934276 1540401414 2053868552 3080802828 4107737104 6161605656 12323211312