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12002211140 = 22517109332297
BaseRepresentation
bin10110010110110001…
…10011010101000100
31010222110021111110112
423023120303111010
5144040031224030
65302545012152
7603266053133
oct131330632504
933873244415
1012002211140
1150a9a31967
1223ab624058
13119375a0aa
1481c03591a
154a3a5aa95
hex2cb633544

12002211140 has 48 divisors (see below), whose sum is σ = 26712513072. Its totient is φ = 4514205696.

The previous prime is 12002211059. The next prime is 12002211163. The reversal of 12002211140 is 4111220021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5129137924 + 6873073216 = 71618^2 + 82904^2 .

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, 355472 + ... + 387768.

It is an arithmetic number, because the mean of its divisors is an integer number (556510689).

Almost surely, 212002211140 is an apocalyptic number.

12002211140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002211140 is an abundant number, since it is smaller than the sum of its proper divisors (14710301932).

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

12002211140 is a wasteful number, since it uses less digits than its factorization.

12002211140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33416 (or 33414 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12002211140 its reverse (4111220021), we get a palindrome (16113431161).

The spelling of 12002211140 in words is "twelve billion, two million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1093 2186 4372 5465 10930 18581 21860 32297 37162 64594 74324 92905 129188 161485 185810 322970 371620 549049 645940 1098098 2196196 2745245 5490490 10980980 35300621 70601242 141202484 176503105 353006210 600110557 706012420 1200221114 2400442228 3000552785 6001105570 12002211140