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12312120100 = 2252717588743
BaseRepresentation
bin10110111011101110…
…00000101100100100
31011210001102111122011
423131313000230210
5200203400320400
65353415244004
7614051202610
oct133567005444
934701374564
1012312120100
115248964075
122477379604
131212a17187
1484b268340
154c0d758ba
hex2dddc0b24

12312120100 has 36 divisors (see below), whose sum is σ = 30534059584. Its totient is φ = 4221298080.

The previous prime is 12312120089. The next prime is 12312120113. The reversal of 12312120100 is 102121321.

12312120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 8793672 + ... + 8795071.

Almost surely, 212312120100 is an apocalyptic number.

12312120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312120100 is an abundant number, since it is smaller than the sum of its proper divisors (18221939484).

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

12312120100 is a wasteful number, since it uses less digits than its factorization.

12312120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17588764 (or 17588757 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12312120100 its reverse (102121321), we get a palindrome (12414241421).

The spelling of 12312120100 in words is "twelve billion, three hundred twelve million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 17588743 35177486 70354972 87943715 123121201 175887430 246242402 351774860 439718575 492484804 615606005 879437150 1231212010 1758874300 2462424020 3078030025 6156060050 12312120100