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12010000000 = 27571201
BaseRepresentation
bin10110010111101101…
…00000111010000000
31010222222221012202211
423023312200322000
5144044030000000
65303423551504
7603422213155
oct131366407200
933888835684
1012010000000
115103371839
1223b215b594
13119525639b
1481d0a222c
154a45987ba
hex2cbda0e80

12010000000 has 128 divisors (see below), whose sum is σ = 29932540560. Its totient is φ = 4800000000.

The previous prime is 12009999949. The next prime is 12010000021. The reversal of 12010000000 is 1021.

It can be written as a sum of positive squares in 8 ways, for example, as 11926387264 + 83612736 = 109208^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999400 + ... + 10000600.

Almost surely, 212010000000 is an apocalyptic number.

12010000000 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 12010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966270280).

12010000000 is an abundant number, since it is smaller than the sum of its proper divisors (17922540560).

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

12010000000 is an frugal number, since it uses more digits than its factorization.

12010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 12010000000 its reverse (1021), we get a palindrome (12010001021).

The spelling of 12010000000 in words is "twelve billion, ten million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1201 1250 1600 2000 2402 2500 3125 3200 4000 4804 5000 6005 6250 8000 9608 10000 12010 12500 15625 16000 19216 20000 24020 25000 30025 31250 38432 40000 48040 50000 60050 62500 76864 78125 80000 96080 100000 120100 125000 150125 153728 156250 192160 200000 240200 250000 300250 312500 384320 400000 480400 500000 600500 625000 750625 768640 960800 1000000 1201000 1250000 1501250 1921600 2000000 2402000 2500000 3002500 3753125 3843200 4804000 5000000 6005000 7506250 9608000 10000000 12010000 15012500 18765625 19216000 24020000 30025000 37531250 48040000 60050000 75062500 93828125 96080000 120100000 150125000 187656250 240200000 300250000 375312500 480400000 600500000 750625000 1201000000 1501250000 2402000000 3002500000 6005000000 12010000000