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12100214224 = 2471031048909
BaseRepresentation
bin10110100010011101…
…01001110111010000
31011020021200120102101
423101032221313100
5144240123323344
65320405330144
7605566060330
oct132116516720
934207616371
1012100214224
11514a28a04a
122418406954
1311aab51997
1482b0670c0
154ac4689d4
hex2d13a9dd0

12100214224 has 40 divisors (see below), whose sum is σ = 27053486720. Its totient is φ = 5135453568.

The previous prime is 12100214177. The next prime is 12100214261. The reversal of 12100214224 is 42241200121.

12100214224 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 7 ways as a sum of consecutive naturals, for example, 512919 + ... + 535990.

It is an arithmetic number, because the mean of its divisors is an integer number (676337168).

Almost surely, 212100214224 is an apocalyptic number.

12100214224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12100214224 is an abundant number, since it is smaller than the sum of its proper divisors (14953272496).

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

12100214224 is a wasteful number, since it uses less digits than its factorization.

12100214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049027 (or 1049021 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12100214224 its reverse (42241200121), we get a palindrome (54341414345).

The spelling of 12100214224 in words is "twelve billion, one hundred million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1442 1648 2884 5768 11536 1048909 2097818 4195636 7342363 8391272 14684726 16782544 29369452 58738904 108037627 117477808 216075254 432150508 756263389 864301016 1512526778 1728602032 3025053556 6050107112 12100214224