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12444123324 = 22315719493389
BaseRepresentation
bin10111001011011101…
…00100000010111100
31012010020210222000110
423211232210002330
5200441143421244
65414452430020
7620243205633
oct134556440274
935106728013
1012444123324
115306424046
1224b3618310
1312341846a9
148609ca51a
154cc74c9b9
hex2e5ba40bc

12444123324 has 48 divisors (see below), whose sum is σ = 29244852000. Its totient is φ = 4118290176.

The previous prime is 12444123277. The next prime is 12444123413. The reversal of 12444123324 is 42332144421.

12444123324 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 junction number, because it is equal to n+sod(n) for n = 12444123291 and 12444123300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3670222 + ... + 3673610.

It is an arithmetic number, because the mean of its divisors is an integer number (609267750).

Almost surely, 212444123324 is an apocalyptic number.

It is an amenable number.

12444123324 is an abundant number, since it is smaller than the sum of its proper divisors (16800728676).

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

12444123324 is a wasteful number, since it uses less digits than its factorization.

12444123324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5500 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 12444123324 its reverse (42332144421), we get a palindrome (54776267745).

The spelling of 12444123324 in words is "twelve billion, four hundred forty-four million, one hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 157 314 471 628 942 1884 1949 3389 3898 5847 6778 7796 10167 11694 13556 20334 23388 40668 305993 532073 611986 917979 1064146 1223972 1596219 1835958 2128292 3192438 3671916 6384876 6605161 13210322 19815483 26420644 39630966 79261932 1037010277 2074020554 3111030831 4148041108 6222061662 12444123324