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12322143143112 = 2331185954336187
BaseRepresentation
bin1011001101001111100011…
…1101110000010011001000
31121121222121100020100110010
42303103320331300103020
53103341222121034422
642112414151351520
72411150123364405
oct263237075602310
947558540210403
1012322143143112
113a20878626280
1214701449825a0
136b4c85c0b32a
143085758c32ac
151657d9585b0c
hexb34f8f704c8

12322143143112 has 64 divisors (see below), whose sum is σ = 33644967609600. Its totient is φ = 3729635807040.

The previous prime is 12322143143069. The next prime is 12322143143129. The reversal of 12322143143112 is 21134134122321.

12322143143112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12322143143112.

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, 26941318 + ... + 27394869.

It is an arithmetic number, because the mean of its divisors is an integer number (525702618900).

Almost surely, 212322143143112 is an apocalyptic number.

12322143143112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12322143143112 is an abundant number, since it is smaller than the sum of its proper divisors (21322824466488).

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

12322143143112 is a wasteful number, since it uses less digits than its factorization.

12322143143112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54337066 (or 54337062 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 12322143143112 its reverse (21134134122321), we get a palindrome (33456277265433).

The spelling of 12322143143112 in words is "twelve trillion, three hundred twenty-two billion, one hundred forty-three million, one hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 859 1718 2577 3436 5154 6872 9449 10308 18898 20616 28347 37796 56694 75592 113388 226776 54336187 108672374 163008561 217344748 326017122 434689496 597698057 652034244 1195396114 1304068488 1793094171 2390792228 3586188342 4781584456 7172376684 14344753368 46674784633 93349569266 140024353899 186699138532 280048707798 373398277064 513422630963 560097415596 1026845261926 1120194831192 1540267892889 2053690523852 3080535785778 4107381047704 6161071571556 12322143143112