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12199860200 = 23521137314867
BaseRepresentation
bin10110101110010101…
…10001011111101000
31011111020012010000002
423113022301133220
5144441131011300
65334325202132
7611216046353
oct132712613750
934436163002
1012199860200
1151a05595a0
122445860348
1311c56a02b8
1483a3a529a
154b609d5d5
hex2d72b17e8

12199860200 has 96 divisors (see below), whose sum is σ = 31028326560. Its totient is φ = 4424121600.

The previous prime is 12199860199. The next prime is 12199860203. The reversal of 12199860200 is 206899121.

It is not an unprimeable number, because it can be changed into a prime (12199860203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813167 + ... + 828033.

It is an arithmetic number, because the mean of its divisors is an integer number (323211735).

Almost surely, 212199860200 is an apocalyptic number.

12199860200 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 12199860200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514163280).

12199860200 is an abundant number, since it is smaller than the sum of its proper divisors (18828466360).

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

12199860200 is a wasteful number, since it uses less digits than its factorization.

12199860200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15267 (or 15258 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 12199860200 in words is "twelve billion, one hundred ninety-nine million, eight hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 373 440 550 746 1100 1492 1865 2200 2984 3730 4103 7460 8206 9325 14867 14920 16412 18650 20515 29734 32824 37300 41030 59468 74335 74600 82060 102575 118936 148670 163537 164120 205150 297340 327074 371675 410300 594680 654148 743350 817685 820600 1308296 1486700 1635370 2973400 3270740 4088425 5545391 6541480 8176850 11090782 16353700 22181564 27726955 32707400 44363128 55453910 60999301 110907820 121998602 138634775 221815640 243997204 277269550 304996505 487994408 554539100 609993010 1109078200 1219986020 1524982525 2439972040 3049965050 6099930100 12199860200