Search a number
-
+
12325131315120 = 24351310159365957
BaseRepresentation
bin1011001101011010101100…
…0100101110011110110000
31121122021022121000012211110
42303112223010232132300
53103413332104040440
642114030454313320
72411314146415221
oct263265304563660
947567277005743
1012325131315120
113a22071348118
121470839658840
136b5341010c50
1430877a6cb248
15165911a90080
hexb35ab12e7b0

12325131315120 has 320 divisors, whose sum is σ = 41625078574464. Its totient is φ = 2998729113600.

The previous prime is 12325131315073. The next prime is 12325131315121. The reversal of 12325131315120 is 2151313152321.

It is a happy number.

It is a super-2 number, since 2×123251313151202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12325131315121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186833182 + ... + 186899138.

Almost surely, 212325131315120 is an apocalyptic number.

12325131315120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12325131315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20812539287232).

12325131315120 is an abundant number, since it is smaller than the sum of its proper divisors (29299947259344).

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

12325131315120 is a wasteful number, since it uses less digits than its factorization.

12325131315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66680 (or 66674 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 12325131315120 its reverse (2151313152321), we get a palindrome (14476444467441).

The spelling of 12325131315120 in words is "twelve trillion, three hundred twenty-five billion, one hundred thirty-one million, three hundred fifteen thousand, one hundred twenty".