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12111400504 = 2378325710139
BaseRepresentation
bin10110100011110010…
…10100111000111000
31011021001201220010001
423101321110320320
5144301004304004
65321445202344
7606063130360
oct132171247070
934231656101
1012111400504
11515562a505
1224201003b4
1311b026a498
1482c7399a0
154ad4281a4
hex2d1e54e38

12111400504 has 64 divisors (see below), whose sum is σ = 26370489600. Its totient is φ = 5107605504.

The previous prime is 12111400501. The next prime is 12111400517. The reversal of 12111400504 is 40500411121.

12111400504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111400501) by changing a digit.

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, 1189467 + ... + 1199605.

It is an arithmetic number, because the mean of its divisors is an integer number (412038900).

Almost surely, 212111400504 is an apocalyptic number.

12111400504 is a gapful number since it is divisible by the number (14) 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 12111400504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13185244800).

12111400504 is an abundant number, since it is smaller than the sum of its proper divisors (14259089096).

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

12111400504 is a wasteful number, since it uses less digits than its factorization.

12111400504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 10488 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 12111400504 its reverse (40500411121), we get a palindrome (52611811625).

The spelling of 12111400504 in words is "twelve billion, one hundred eleven million, four hundred thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 56 83 166 257 332 514 581 664 1028 1162 1799 2056 2324 3598 4648 7196 10139 14392 20278 21331 40556 42662 70973 81112 85324 141946 149317 170648 283892 298634 567784 597268 841537 1194536 1683074 2605723 3366148 5211446 5890759 6732296 10422892 11781518 18240061 20845784 23563036 36480122 47126072 72960244 145920488 216275009 432550018 865100036 1513925063 1730200072 3027850126 6055700252 12111400504