Search a number
-
+
12412018080 = 253257112331157
BaseRepresentation
bin10111000111101000…
…00101110110100000
31012001000101211220100
423203310011312200
5200404434034310
65411344342400
7616403261430
oct134364056640
935030354810
1012412018080
11529a295990
1224a4914a00
13122a6233c7
1485a6302c0
154c9a09ec0
hex2e3d05da0

12412018080 has 1152 divisors, whose sum is σ = 57243303936. Its totient is φ = 2372198400.

The previous prime is 12412018063. The next prime is 12412018093. The reversal of 12412018080 is 8081021421.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79057362 + ... + 79057518.

It is an arithmetic number, because the mean of its divisors is an integer number (49690368).

Almost surely, 212412018080 is an apocalyptic number.

12412018080 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 12412018080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28621651968).

12412018080 is an abundant number, since it is smaller than the sum of its proper divisors (44831285856).

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

12412018080 is a wasteful number, since it uses less digits than its factorization.

12412018080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 12412018080 in words is "twelve billion, four hundred twelve million, eighteen thousand, eighty".