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12143112400 = 245240937417
BaseRepresentation
bin10110100111100100…
…10011000011010000
31011100021102000122201
423103302103003100
5144332114044100
65324541012544
7606626516026
oct132362230320
934307360581
1012143112400
11517151a091
12242a854154
1311b69c1713
14832a32716
154b10de36a
hex2d3c930d0

12143112400 has 60 divisors (see below), whose sum is σ = 29184889612. Its totient is φ = 4855403520.

The previous prime is 12143112389. The next prime is 12143112403. The reversal of 12143112400 is 421134121.

It can be written as a sum of positive squares in 6 ways, for example, as 2598544 + 12140513856 = 1612^2 + 110184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12143112403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1633492 + ... + 1640908.

Almost surely, 212143112400 is an apocalyptic number.

12143112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12143112400 is an abundant number, since it is smaller than the sum of its proper divisors (17041777212).

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

12143112400 is a wasteful number, since it uses less digits than its factorization.

12143112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11528 (or 11517 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12143112400 its reverse (421134121), we get a palindrome (12564246521).

The spelling of 12143112400 in words is "twelve billion, one hundred forty-three million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4093 7417 8186 14834 16372 20465 29668 32744 37085 40930 59336 65488 74170 81860 102325 118672 148340 163720 185425 204650 296680 327440 370850 409300 593360 741700 818600 1483400 1637200 2966800 30357781 60715562 121431124 151788905 242862248 303577810 485724496 607155620 758944525 1214311240 1517889050 2428622480 3035778100 6071556200 12143112400