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12121131110 = 2511437433449
BaseRepresentation
bin10110100100111100…
…11100100001100110
31011021202001020222212
423102132130201212
5144311002143420
65322433523422
7606241625444
oct132236344146
934252036885
1012121131110
115160076230
122423413572
1311b229653a
1482db4db94
154ae1eb3c5
hex2d279c866

12121131110 has 64 divisors (see below), whose sum is σ = 24394867200. Its totient is φ = 4298138880.

The previous prime is 12121131107. The next prime is 12121131133. The reversal of 12121131110 is 1113112121.

12121131110 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, 3512666 + ... + 3516114.

It is an arithmetic number, because the mean of its divisors is an integer number (381169800).

Almost surely, 212121131110 is an apocalyptic number.

12121131110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121131110 is an abundant number, since it is smaller than the sum of its proper divisors (12273736090).

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

12121131110 is a wasteful number, since it uses less digits than its factorization.

12121131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 12121131110 its reverse (1113112121), we get a palindrome (13234243231).

The spelling of 12121131110 in words is "twelve billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 43 55 86 110 215 430 473 743 946 1486 2365 3449 3715 4730 6898 7430 8173 16346 17245 31949 34490 37939 40865 63898 75878 81730 148307 159745 189695 296614 319490 351439 379390 702878 741535 1483070 1631377 1757195 2562607 3262754 3514390 5125214 8156885 12813035 16313770 25626070 28188677 56377354 110192101 140943385 220384202 281886770 550960505 1101921010 1212113111 2424226222 6060565555 12121131110