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12112103025 = 3252112232292
BaseRepresentation
bin10110100011111000…
…00000011001110001
31011021010001120210100
423101330000121301
5144301144244100
65321512223013
7606102114501
oct132174003161
934233046710
1012112103025
115155a6a300
12242039aa69
1311b0455189
1482c87da01
154ad516400
hex2d1f00671

12112103025 has 243 divisors, whose sum is σ = 25816655137. Its totient is φ = 5423510400.

The previous prime is 12112103011. The next prime is 12112103051. The reversal of 12112103025 is 52030121121.

The square root of 12112103025 is 110055.

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

It can be written as a sum of positive squares in 4 ways, for example, as 166487409 + 11945615616 = 12903^2 + 109296^2 .

It is not a de Polignac number, because 12112103025 - 217 = 12111971953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12112102989 and 12112103007.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 417658711 + ... + 417658739.

Almost surely, 212112103025 is an apocalyptic number.

12112103025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12112103025 is the 110055-th square number.

12112103025 is the 55028-th centered octagonal number.

It is an amenable number.

12112103025 is an abundant number, since it is smaller than the sum of its proper divisors (13704552112).

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

12112103025 is a wasteful number, since it uses less digits than its factorization.

12112103025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12112103025 its reverse (52030121121), we get a palindrome (64142224146).

The spelling of 12112103025 in words is "twelve billion, one hundred twelve million, one hundred three thousand, twenty-five".