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12166211300 = 2252139875267
BaseRepresentation
bin10110101010010100…
…11010011011100100
31011101212212120101112
423111022122123210
5144404022230200
65331124044152
7610330042535
oct132512323344
934355776345
1012166211300
115183566691
122436533658
1311bb71b4c9
14835b2668c
154b3153535
hex2d529a6e4

12166211300 has 36 divisors (see below), whose sum is σ = 26590641840. Its totient is φ = 4831468320.

The previous prime is 12166211293. The next prime is 12166211303. The reversal of 12166211300 is 311266121.

12166211300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12166211303) 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 11 ways as a sum of consecutive naturals, for example, 423734 + ... + 451533.

It is an arithmetic number, because the mean of its divisors is an integer number (738628940).

Almost surely, 212166211300 is an apocalyptic number.

12166211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12166211300 is an abundant number, since it is smaller than the sum of its proper divisors (14424430540).

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

12166211300 is a wasteful number, since it uses less digits than its factorization.

12166211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875420 (or 875413 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 12166211300 its reverse (311266121), we get a palindrome (12477477421).

The spelling of 12166211300 in words is "twelve billion, one hundred sixty-six million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3475 6950 13900 875267 1750534 3501068 4376335 8752670 17505340 21881675 43763350 87526700 121662113 243324226 486648452 608310565 1216621130 2433242260 3041552825 6083105650 12166211300