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12121101010 = 254143259271
BaseRepresentation
bin10110100100111100…
…10101001011010010
31011021201222201201001
423102132111023102
5144311000213020
65322433132214
7606241441624
oct132236251322
934251881631
1012121101010
115160055657
1224233ba06a
1311b2285925
1482db42c14
154ae1e250a
hex2d27952d2

12121101010 has 96 divisors (see below), whose sum is σ = 23355682560. Its totient is φ = 4525113600.

The previous prime is 12121100933. The next prime is 12121101011. The reversal of 12121101010 is 1010112121.

12121101010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12121101011) 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 47 ways as a sum of consecutive naturals, for example, 44727175 + ... + 44727445.

It is an arithmetic number, because the mean of its divisors is an integer number (243288360).

Almost surely, 212121101010 is an apocalyptic number.

12121101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121101010 is a deficient number, since it is larger than the sum of its proper divisors (11234581550).

12121101010 is a wasteful number, since it uses less digits than its factorization.

12121101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12121101010 its reverse (1010112121), we get a palindrome (13131213131).

The spelling of 12121101010 in words is "twelve billion, one hundred twenty-one million, one hundred one thousand, ten".

Divisors: 1 2 5 10 41 43 59 82 86 118 205 215 271 295 410 430 542 590 1355 1763 1849 2419 2537 2710 3526 3698 4838 5074 8815 9245 11111 11653 12095 12685 15989 17630 18490 22222 23306 24190 25370 31978 55555 58265 75809 79945 104017 109091 111110 116530 151618 159890 208034 218182 379045 477773 501079 520085 545455 655549 687527 758090 955546 1002158 1040170 1090910 1311098 1375054 2388865 2505395 3277745 3437635 4472731 4777730 5010790 6555490 6875270 8945462 20544239 22363655 28188607 29563661 41088478 44727310 56377214 59127322 102721195 140943035 147818305 205442390 281886070 295636610 1212110101 2424220202 6060550505 12121101010