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12122144200 = 235260610721
BaseRepresentation
bin10110100101000100…
…10011110111001000
31011021210221201200201
423102202103313020
5144311232103300
65322511341544
7606253345165
oct132242236710
934253851621
1012122144200
1151606a83a1
1224238218b4
1311b255c6ba
1482dd3506c
154ae34b66a
hex2d2893dc8

12122144200 has 24 divisors (see below), whose sum is σ = 28183985730. Its totient is φ = 4848857600.

The previous prime is 12122144197. The next prime is 12122144201. The reversal of 12122144200 is 244122121.

It can be written as a sum of positive squares in 3 ways, for example, as 7557520356 + 4564623844 = 86934^2 + 67562^2 .

It is not an unprimeable number, because it can be changed into a prime (12122144201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30305161 + ... + 30305560.

Almost surely, 212122144200 is an apocalyptic number.

12122144200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122144200 is an abundant number, since it is smaller than the sum of its proper divisors (16061841530).

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

12122144200 is a wasteful number, since it uses less digits than its factorization.

12122144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60610737 (or 60610728 counting only the distinct ones).

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

Adding to 12122144200 its reverse (244122121), we get a palindrome (12366266321).

It can be divided in two parts, 1212 and 2144200, that added together give a palindrome (2145412).

The spelling of 12122144200 in words is "twelve billion, one hundred twenty-two million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60610721 121221442 242442884 303053605 484885768 606107210 1212214420 1515268025 2424428840 3030536050 6061072100 12122144200