Search a number
-
+
12187449120 = 2535711231967
BaseRepresentation
bin10110101100110110…
…11011011100100000
31011110100211120012110
423112123123130200
5144424441332440
65333203155320
7611005415430
oct132633333440
934410746173
1012187449120
115194551a00
122441675b40
1311c2c46172
148388942c0
154b4e4b080
hex2d66db720

12187449120 has 576 divisors, whose sum is σ = 49833197568. Its totient is φ = 2448230400.

The previous prime is 12187449119. The next prime is 12187449121. The reversal of 12187449120 is 2194478121.

It is an interprime number because it is at equal distance from previous prime (12187449119) and next prime (12187449121).

It is not an unprimeable number, because it can be changed into a prime (12187449121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12602877 + ... + 12603843.

It is an arithmetic number, because the mean of its divisors is an integer number (86515968).

Almost surely, 212187449120 is an apocalyptic number.

12187449120 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 12187449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24916598784).

12187449120 is an abundant number, since it is smaller than the sum of its proper divisors (37645748448).

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

12187449120 is a wasteful number, since it uses less digits than its factorization.

12187449120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 12187449120 in words is "twelve billion, one hundred eighty-seven million, four hundred forty-nine thousand, one hundred twenty".