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12300023312200 = 2352134730778197
BaseRepresentation
bin1011001011111101001010…
…0001010010111101001000
31121112212111202212111212101
42302333102201102331020
53103010421431442300
642054315214523144
72406435021050431
oct262772241227510
947485452774771
1012300023312200
113a12457553988
1214679b0b064b4
136b2b6c2c13a0
14307477c6c488
15164e42686b6a
hexb2fd2852f48

12300023312200 has 48 divisors (see below), whose sum is σ = 30797366068980. Its totient is φ = 4541547068160.

The previous prime is 12300023312183. The next prime is 12300023312201. The reversal of 12300023312200 is 221332000321.

12300023312200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 99128003716 + 12200895308484 = 314846^2 + 3492978^2 .

It is not an unprimeable number, because it can be changed into a prime (12300023312201) 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, 2365386499 + ... + 2365391698.

Almost surely, 212300023312200 is an apocalyptic number.

12300023312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300023312200 is an abundant number, since it is smaller than the sum of its proper divisors (18497342756780).

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

12300023312200 is a wasteful number, since it uses less digits than its factorization.

12300023312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730778226 (or 4730778217 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12300023312200 its reverse (221332000321), we get a palindrome (12521355312521).

The spelling of 12300023312200 in words is "twelve trillion, three hundred billion, twenty-three million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4730778197 9461556394 18923112788 23653890985 37846225576 47307781970 61500116561 94615563940 118269454925 123000233122 189231127880 236538909850 246000466244 307500582805 473077819700 492000932488 615001165610 946155639400 1230002331220 1537502914025 2460004662440 3075005828050 6150011656100 12300023312200