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12010010200 = 23521911712699
BaseRepresentation
bin10110010111101101…
…00011011001011000
31010222222221201202121
423023312203121120
5144044030311300
65303424111024
7603422254666
oct131366433130
933888851677
1012010010200
115103379471
1223b2165474
13119525ac16
1481d0a5c36
154a459b81a
hex2cbda3658

12010010200 has 96 divisors (see below), whose sum is σ = 29428920000. Its totient is φ = 4545590400.

The previous prime is 12010010197. The next prime is 12010010231. The reversal of 12010010200 is 201001021.

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, 4448451 + ... + 4451149.

It is an arithmetic number, because the mean of its divisors is an integer number (306551250).

Almost surely, 212010010200 is an apocalyptic number.

12010010200 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 12010010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714460000).

12010010200 is an abundant number, since it is smaller than the sum of its proper divisors (17418909800).

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

12010010200 is a wasteful number, since it uses less digits than its factorization.

12010010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12010010200 its reverse (201001021), we get a palindrome (12211011221).

The spelling of 12010010200 in words is "twelve billion, ten million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1171 1900 2342 2699 3800 4684 5398 5855 9368 10796 11710 13495 21592 22249 23420 26990 29275 44498 46840 51281 53980 58550 67475 88996 102562 107960 111245 117100 134950 177992 205124 222490 234200 256405 269900 410248 444980 512810 539800 556225 889960 1025620 1112450 1282025 2051240 2224900 2564050 3160529 4449800 5128100 6321058 10256200 12642116 15802645 25284232 31605290 60050051 63210580 79013225 120100102 126421160 158026450 240200204 300250255 316052900 480400408 600500510 632105800 1201001020 1501251275 2402002040 3002502550 6005005100 12010010200