Search a number
-
+
12112100992 = 27101936889
BaseRepresentation
bin10110100011110111…
…11111111010000000
31011021010001111000001
423101323333322000
5144301144212432
65321512205344
7606102105535
oct132173777200
934233044001
1012112100992
115155a68822
122420399854
1311b0454284
1482c87cd8c
154ad5159e7
hex2d1effe80

12112100992 has 32 divisors (see below), whose sum is σ = 24368508900. Its totient is φ = 5996083200.

The previous prime is 12112100989. The next prime is 12112100999. The reversal of 12112100992 is 29900121121.

It can be written as a sum of positive squares in 2 ways, for example, as 11258058816 + 854042176 = 106104^2 + 29224^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12112100992.

It is not an unprimeable number, because it can be changed into a prime (12112100999) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 455517 + ... + 481372.

Almost surely, 212112100992 is an apocalyptic number.

It is an amenable number.

12112100992 is an abundant number, since it is smaller than the sum of its proper divisors (12256407908).

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

12112100992 is an equidigital number, since it uses as much as digits as its factorization.

12112100992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937004 (or 936992 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 12112100992 in words is "twelve billion, one hundred twelve million, one hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 936889 1873778 3747556 7495112 14990224 29980448 59960896 94625789 119921792 189251578 378503156 757006312 1514012624 3028025248 6056050496 12112100992