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12112321122 = 2331122439091
BaseRepresentation
bin10110100011111001…
…10101101001100010
31011021010110122222000
423101330311221202
5144301223233442
65321521024430
7606104013366
oct132174655142
934233418860
1012112321122
1151560a9150
122420485116
1311b0500525
1482c8d92a6
154ad55ad4c
hex2d1f35a62

12112321122 has 64 divisors (see below), whose sum is σ = 29379525120. Its totient is φ = 3668360400.

The previous prime is 12112321103. The next prime is 12112321127. The reversal of 12112321122 is 22112321121.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 12112321095 and 12112321104.

It is not an unprimeable number, because it can be changed into a prime (12112321127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327797 + ... + 1336887.

It is an arithmetic number, because the mean of its divisors is an integer number (459055080).

Almost surely, 212112321122 is an apocalyptic number.

12112321122 is an abundant number, since it is smaller than the sum of its proper divisors (17267203998).

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

12112321122 is a wasteful number, since it uses less digits than its factorization.

12112321122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356 (or 11350 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12112321122 its reverse (22112321121), we get a palindrome (34224642243).

Subtracting 12112321122 from its reverse (22112321121), we obtain a palindrome (9999999999).

The spelling of 12112321122 in words is "twelve billion, one hundred twelve million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 2243 4486 6729 9091 13458 18182 20187 24673 27273 40374 49346 54546 60561 74019 81819 100001 121122 148038 163638 200002 222057 245457 300003 444114 490914 600006 666171 900009 1332342 1800018 2700027 5400054 20391113 40782226 61173339 122346678 183520017 224302243 367040034 448604486 550560051 672906729 1101120102 1345813458 2018720187 4037440374 6056160561 12112321122