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12412220200 = 23521731117763
BaseRepresentation
bin10111000111101001…
…10111001100101000
31012001000210010011021
423203310313030220
5200410012021300
65411352542224
7616405062622
oct134364671450
935030703137
1012412220200
11529a413826
1224a49b1974
13122a6943c3
1485a683c12
154c9a49d1a
hex2e3d37328

12412220200 has 96 divisors (see below), whose sum is σ = 31541909760. Its totient is φ = 4522060800.

The previous prime is 12412220147. The next prime is 12412220243. The reversal of 12412220200 is 202221421.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46519 + ... + 164281.

It is an arithmetic number, because the mean of its divisors is an integer number (328561560).

Almost surely, 212412220200 is an apocalyptic number.

12412220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770954880).

12412220200 is an abundant number, since it is smaller than the sum of its proper divisors (19129689560).

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

12412220200 is a wasteful number, since it uses less digits than its factorization.

12412220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117827 (or 117818 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12412220200 its reverse (202221421), we get a palindrome (12614441621).

The spelling of 12412220200 in words is "twelve billion, four hundred twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 31 34 40 50 62 68 85 100 124 136 155 170 200 248 310 340 425 527 620 680 775 850 1054 1240 1550 1700 2108 2635 3100 3400 4216 5270 6200 10540 13175 21080 26350 52700 105400 117763 235526 471052 588815 942104 1177630 2001971 2355260 2944075 3650653 4003942 4710520 5888150 7301306 8007884 10009855 11776300 14602612 16015768 18253265 20019710 23552600 29205224 36506530 40039420 50049275 62061101 73013060 80078840 91266325 100098550 124122202 146026120 182532650 200197100 248244404 310305505 365065300 400394200 496488808 620611010 730130600 1241222020 1551527525 2482444040 3103055050 6206110100 12412220200