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12221744704 = 2613210632
BaseRepresentation
bin10110110000111100…
…10000011001000000
31011112202100221220021
423120132100121000
5200012231312304
65340430223224
7611603054521
oct133036203100
934482327807
1012221744704
115201946764
122451054b14
1311ca093400
1483d260848
154b7e72a54
hex2d8790640

12221744704 has 63 divisors (see below), whose sum is σ = 26286337953. Its totient is φ = 5635498752.

The previous prime is 12221744701. The next prime is 12221744723. The reversal of 12221744704 is 40744712221.

The square root of 12221744704 is 110552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1807950400 + 10413794304 = 42520^2 + 102048^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12221744704.

It is not an unprimeable number, because it can be changed into a prime (12221744701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11496877 + ... + 11497939.

Almost surely, 212221744704 is an apocalyptic number.

12221744704 is the 110552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221744704

12221744704 is an abundant number, since it is smaller than the sum of its proper divisors (14064593249).

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

12221744704 is an frugal number, since it uses more digits than its factorization.

12221744704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The spelling of 12221744704 in words is "twelve billion, two hundred twenty-one million, seven hundred forty-four thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1063 1352 2126 2704 4252 5408 8504 10816 13819 17008 27638 34016 55276 68032 110552 179647 221104 359294 442208 718588 884416 1129969 1437176 2259938 2874352 4519876 5748704 9039752 11497408 14689597 18079504 29379194 36159008 58758388 72318016 117516776 190964761 235033552 381929522 470067104 763859044 940134208 1527718088 3055436176 6110872352 12221744704