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12201094472 = 23747972
BaseRepresentation
bin10110101110011110…
…11110110101001000
31011111022111211002212
423113033132311020
5144441440010342
65334411444252
7611232410000
oct132717366510
934438454085
1012201094472
1151a1221956
122446156688
1311c5a13038
1483a607000
154b6244182
hex2d73ded48

12201094472 has 60 divisors (see below), whose sum is σ = 26721834105. Its totient is φ = 5222479584.

The previous prime is 12201094453. The next prime is 12201094517. The reversal of 12201094472 is 27449010221.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12198318916 + 2775556 = 110446^2 + 1666^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78106.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15308378 + ... + 15309174.

Almost surely, 212201094472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201094472

12201094472 is an abundant number, since it is smaller than the sum of its proper divisors (14520739633).

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

12201094472 is an frugal number, since it uses more digits than its factorization.

12201094472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

Multiplying 12201094472 by its sum of digits (32), we get a square (390435023104 = 6248482).

The spelling of 12201094472 in words is "twelve billion, two hundred one million, ninety-four thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 797 1372 1594 2401 2744 3188 4802 5579 6376 9604 11158 19208 22316 39053 44632 78106 156212 273371 312424 546742 635209 1093484 1270418 1913597 2186968 2540836 3827194 4446463 5081672 7654388 8892926 15308776 17785852 31125241 35571704 62250482 124500964 217876687 249001928 435753374 871506748 1525136809 1743013496 3050273618 6100547236 12201094472