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12231381201312 = 25371315152317729
BaseRepresentation
bin1011000111111101011100…
…1000011011000110100000
31121022022022222121222200010
42301333113020123012200
53100344332041420222
642003004032124520
72401455012534240
oct261772710330640
947268288558603
1012231381201312
1139963328a9019
121456634996740
136a955029cc20
14304005725b20
1516327639d80c
hexb1fd721b1a0

12231381201312 has 384 divisors, whose sum is σ = 39856776744960. Its totient is φ = 3198187929600.

The previous prime is 12231381201287. The next prime is 12231381201313. The reversal of 12231381201312 is 21310218313221.

12231381201312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12231381201312.

It is not an unprimeable number, because it can be changed into a prime (12231381201313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 689899264 + ... + 689916992.

It is an arithmetic number, because the mean of its divisors is an integer number (103793689440).

Almost surely, 212231381201312 is an apocalyptic number.

12231381201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12231381201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19928388372480).

12231381201312 is an abundant number, since it is smaller than the sum of its proper divisors (27625395543648).

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

12231381201312 is a wasteful number, since it uses less digits than its factorization.

12231381201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18436 (or 18428 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 12231381201312 its reverse (21310218313221), we get a palindrome (33541599514533).

The spelling of 12231381201312 in words is "twelve trillion, two hundred thirty-one billion, three hundred eighty-one million, two hundred one thousand, three hundred twelve".