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12312233221321 = 1131431018313667
BaseRepresentation
bin1011001100101010101001…
…0010011001110011001001
31121121001000200222011101201
42303022222102121303021
53103210423201040241
642104054543344201
72410346421422215
oct263125222316311
947531020864351
1012312233221321
113a17652746370
12146a239bb2061
136b4066a9c597
14307cb56cb945
1516540956c931
hexb32aa499cc9

12312233221321 has 32 divisors (see below), whose sum is σ = 14327708921856. Its totient is φ = 10475219160000.

The previous prime is 12312233221297. The next prime is 12312233221361.

12312233221321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12312233221321 - 227 = 12312099003593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12312233221321.

It is not an unprimeable number, because it can be changed into a prime (12312233221361) 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, 2675871 + ... + 5637796.

It is an arithmetic number, because the mean of its divisors is an integer number (447740903808).

Almost surely, 212312233221321 is an apocalyptic number.

12312233221321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12312233221321 is a deficient number, since it is larger than the sum of its proper divisors (2015475700535).

12312233221321 is a wasteful number, since it uses less digits than its factorization.

12312233221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313853.

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 1231223 and 3221321, that added together give a palindrome (4452544).

The spelling of 12312233221321 in words is "twelve trillion, three hundred twelve billion, two hundred thirty-three million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 11 31 43 101 341 473 1111 1333 3131 4343 14663 34441 47773 134633 1480963 8313667 91450337 257723677 357487681 839680367 2834960447 3932364491 9236484037 11082118111 26030091377 36106255781 121903299221 286331005147 397168813591 1119293929211 12312233221321