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12216779553001 = 1722056032
BaseRepresentation
bin1011000111000111000011…
…0011100011100011101001
31121020220122101001101202211
42301301300303203203221
53100124431031144001
641552151104125121
72400430120553062
oct261616063434351
947226571041684
1012216779553001
11399011a626581
12145383a9067a1
136a806413913a
1430341c397569
15162bbe524351
hexb1c70ce38e9

12216779553001 has 9 divisors (see below), whose sum is σ = 12977749358391. Its totient is φ = 11498089537632.

The previous prime is 12216779552977. The next prime is 12216779553007. The reversal of 12216779553001 is 10035597761221.

The square root of 12216779553001 is 3495251.

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

12216779553001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9511333562025 + 2705445990976 = 3084045^2 + 1644824^2 .

It is not a de Polignac number, because 12216779553001 - 29 = 12216779552489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12216779553007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59316466 + ... + 59522068.

Almost surely, 212216779553001 is an apocalyptic number.

12216779553001 is the 3495251-st square number.

12216779553001 is the 1747626-th centered octagonal number.

It is an amenable number.

12216779553001 is a deficient number, since it is larger than the sum of its proper divisors (760969805390).

12216779553001 is an frugal number, since it uses more digits than its factorization.

12216779553001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411240 (or 205620 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 49.

Multiplying 12216779553001 by its sum of digits (49), we get a square (598622198097049 = 244667572).

The spelling of 12216779553001 in words is "twelve trillion, two hundred sixteen billion, seven hundred seventy-nine million, five hundred fifty-three thousand, one".

Divisors: 1 17 289 205603 3495251 59419267 42272593609 718634091353 12216779553001