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12010221312 = 28337422657
BaseRepresentation
bin10110010111101110…
…10110111100000000
31011000000100110100120
423023313112330000
5144044104040222
65303432420240
7603424124325
oct131367267400
934000313316
1012010221312
115103503041
1223b2247680
13119530303b
1481d11cb4c
154a45de15c
hex2cbdd6f00

12010221312 has 72 divisors (see below), whose sum is σ = 32828692176. Its totient is φ = 3895197696.

The previous prime is 12010221277. The next prime is 12010221317. The reversal of 12010221312 is 21312201021.

It is a junction number, because it is equal to n+sod(n) for n = 12010221291 and 12010221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010221317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182913 + ... + 239744.

It is an arithmetic number, because the mean of its divisors is an integer number (455954058).

Almost surely, 212010221312 is an apocalyptic number.

12010221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12010221312 is an abundant number, since it is smaller than the sum of its proper divisors (20818470864).

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

12010221312 is an equidigital number, since it uses as much as digits as its factorization.

12010221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422713 (or 422699 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12010221312 its reverse (21312201021), we get a palindrome (33322422333).

The spelling of 12010221312 in words is "twelve billion, ten million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 9472 14208 28416 422657 845314 1267971 1690628 2535942 3381256 5071884 6762512 10143768 13525024 15638309 20287536 27050048 31276618 40575072 46914927 54100096 62553236 81150144 93829854 108200192 125106472 162300288 187659708 250212944 324600576 375319416 500425888 750638832 1000851776 1501277664 2001703552 3002555328 4003407104 6005110656 12010221312