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12331122144 = 2531111677199
BaseRepresentation
bin10110111101111110…
…11111110111100000
31011211101011220112120
423132333133313200
5200223231402034
65355334424240
7614401544265
oct133677376740
934741156476
1012331122144
115258662640
122481802080
13121693b2a3
1484d9b326c
154c287ac49
hex2defdfde0

12331122144 has 48 divisors (see below), whose sum is σ = 35311852800. Its totient is φ = 3736703360.

The previous prime is 12331122131. The next prime is 12331122173. The reversal of 12331122144 is 44122113321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5837544 + ... + 5839655.

It is an arithmetic number, because the mean of its divisors is an integer number (735663600).

Almost surely, 212331122144 is an apocalyptic number.

It is an amenable number.

12331122144 is an abundant number, since it is smaller than the sum of its proper divisors (22980730656).

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

12331122144 is a wasteful number, since it uses less digits than its factorization.

12331122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11677223 (or 11677215 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 12331122144 its reverse (44122113321), we get a palindrome (56453235465).

The spelling of 12331122144 in words is "twelve billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11677199 23354398 35031597 46708796 70063194 93417592 128449189 140126388 186835184 256898378 280252776 373670368 385347567 513796756 560505552 770695134 1027593512 1121011104 1541390268 2055187024 3082780536 4110374048 6165561072 12331122144