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12120219973 = 257106144449
BaseRepresentation
bin10110100100110101…
…11110000101000101
31011021200022222011001
423102122332011011
5144310234014343
65322402213301
7606231112201
oct132232760505
934250288131
1012120219973
11515a603724
122423054231
1311b20378c4
1482d993b01
154ae0bb44d
hex2d26be145

12120219973 has 8 divisors (see below), whose sum is σ = 12179122200. Its totient is φ = 12061409280.

The previous prime is 12120219901. The next prime is 12120219977. The reversal of 12120219973 is 37991202121.

12120219973 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 4 ways, for example, as 8641933444 + 3478286529 = 92962^2 + 58977^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12120219973 - 225 = 12086665541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120219977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250453 + ... + 294901.

It is an arithmetic number, because the mean of its divisors is an integer number (1522390275).

Almost surely, 212120219973 is an apocalyptic number.

It is an amenable number.

12120219973 is a deficient number, since it is larger than the sum of its proper divisors (58902227).

12120219973 is a wasteful number, since it uses less digits than its factorization.

12120219973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45767.

The product of its (nonzero) digits is 13608, while the sum is 37.

The spelling of 12120219973 in words is "twelve billion, one hundred twenty million, two hundred nineteen thousand, nine hundred seventy-three".

Divisors: 1 257 1061 44449 272677 11423393 47160389 12120219973