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12099780001 = 31723472
BaseRepresentation
bin10110100010011001…
…11111110110100001
31011020020212111210001
423101030333312201
5144240020430001
65320352140001
7605562301351
oct132114776641
934206774701
1012099780001
11514a012891
122418237601
1311aaa2c14a
1482ad92b61
154ac3d0001
hex2d133fda1

12099780001 has 9 divisors (see below), whose sum is σ = 12173150899. Its totient is φ = 12026850664.

The previous prime is 12099779999. The next prime is 12099780029. The reversal of 12099780001 is 10008799021.

The square root of 12099780001 is 109999.

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., 677300625 + 11422479376 = 26025^2 + 106876^2 .

It is not a de Polignac number, because 12099780001 - 21 = 12099779999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12099720001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34869510 + ... + 34869856.

Almost surely, 212099780001 is an apocalyptic number.

12099780001 is the 109999-th square number.

12099780001 is the 55000-th centered octagonal number.

It is an amenable number.

12099780001 is a deficient number, since it is larger than the sum of its proper divisors (73370898).

12099780001 is an frugal number, since it uses more digits than its factorization.

12099780001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

It can be divided in two parts, 12099 and 780001, that added together give a square (792100 = 8902).

The spelling of 12099780001 in words is "twelve billion, ninety-nine million, seven hundred eighty thousand, one".

Divisors: 1 317 347 100489 109999 120409 34869683 38169653 12099780001