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12133121110 = 2511317349997
BaseRepresentation
bin10110100110011000…
…01011110001010110
31011022120121102011221
423103030023301112
5144322034333420
65323542520554
7606445553635
oct132314136126
934276542157
1012133121110
115166915520
12242743615a
1311b4903b06
1483159151c
154b02b8caa
hex2d330bc56

12133121110 has 64 divisors (see below), whose sum is σ = 23992718400. Its totient is φ = 4381125120.

The previous prime is 12133121087. The next prime is 12133121177. The reversal of 12133121110 is 1112133121.

It is a happy number.

12133121110 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 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 31 ways as a sum of consecutive naturals, for example, 12169132 + ... + 12170128.

It is an arithmetic number, because the mean of its divisors is an integer number (374886225).

Almost surely, 212133121110 is an apocalyptic number.

12133121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12133121110 is a deficient number, since it is larger than the sum of its proper divisors (11859597290).

12133121110 is a wasteful number, since it uses less digits than its factorization.

12133121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12133121110 its reverse (1112133121), we get a palindrome (13245254231).

The spelling of 12133121110 in words is "twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 110 317 349 634 698 997 1585 1745 1994 3170 3487 3490 3839 4985 6974 7678 9970 10967 17435 19195 21934 34870 38390 54835 109670 110633 221266 316049 347953 553165 632098 695906 1106330 1216963 1580245 1739765 2433926 3160490 3476539 3479530 3827483 6084815 6953078 7654966 12169630 17382695 19137415 34765390 38274830 110301101 220602202 551505505 1103011010 1213312111 2426624222 6066560555 12133121110