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12141200204 = 22722917312347
BaseRepresentation
bin10110100111010110…
…00000001101001100
31011100010210212121122
423103223000031030
5144331121401304
65324432020112
7606604333100
oct132353001514
934303725548
1012141200204
115170433461
12242a091638
1311b64a2243
14832695900
154b0d629be
hex2d3ac034c

12141200204 has 72 divisors (see below), whose sum is σ = 25718167440. Its totient is φ = 4994500224.

The previous prime is 12141200179. The next prime is 12141200249. The reversal of 12141200204 is 40200214121.

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, 977159 + ... + 989505.

It is an arithmetic number, because the mean of its divisors is an integer number (357196770).

Almost surely, 212141200204 is an apocalyptic number.

12141200204 is a gapful number since it is divisible by the number (14) 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 12141200204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12859083720).

12141200204 is an abundant number, since it is smaller than the sum of its proper divisors (13576967236).

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

12141200204 is a wasteful number, since it uses less digits than its factorization.

12141200204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12141200204 its reverse (40200214121), we get a palindrome (52341414325).

The spelling of 12141200204 in words is "twelve billion, one hundred forty-one million, two hundred thousand, two hundred four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 173 196 203 346 406 692 812 1211 1421 2422 2842 4844 5017 5684 8477 10034 12347 16954 20068 24694 33908 35119 49388 70238 86429 140476 172858 245833 345716 358063 491666 605003 716126 983332 1210006 1432252 2136031 2420012 2506441 4272062 5012882 8544124 10025764 14952217 17545087 29904434 35090174 59808868 61944899 70180348 104665519 123889798 209331038 247779596 418662076 433614293 867228586 1734457172 3035300051 6070600102 12141200204