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12010200 = 2335237541
BaseRepresentation
bin101101110100…
…001011011000
3211121011220020
4231310023120
511033311300
61105230440
7204041106
oct55641330
924534806
1012010200
116863494
124032420
132646837
141848c76
1510c38a0
hexb742d8

12010200 has 96 divisors (see below), whose sum is σ = 38308560. Its totient is φ = 3110400.

The previous prime is 12010199. The next prime is 12010241. The reversal of 12010200 is 201021.

It is a happy number.

12010200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 21930 + ... + 22470.

Almost surely, 212010200 is an apocalyptic number.

12010200 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 12010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19154280).

12010200 is an abundant number, since it is smaller than the sum of its proper divisors (26298360).

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

12010200 is a wasteful number, since it uses less digits than its factorization.

12010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12010200 is about 3465.5735456054. The cubic root of 12010200 is about 229.0076972807.

Adding to 12010200 its reverse (201021), we get a palindrome (12211221).

The spelling of 12010200 in words is "twelve million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 541 555 600 740 888 925 1082 1110 1480 1623 1850 2164 2220 2705 2775 3246 3700 4328 4440 5410 5550 6492 7400 8115 10820 11100 12984 13525 16230 20017 21640 22200 27050 32460 40034 40575 54100 60051 64920 80068 81150 100085 108200 120102 160136 162300 200170 240204 300255 324600 400340 480408 500425 600510 800680 1000850 1201020 1501275 2001700 2402040 3002550 4003400 6005100 12010200