Search a number
-
+
12337340000 = 255453103113
BaseRepresentation
bin10110111110101110…
…01101111001100000
31011211210212210211112
423133113031321200
5200231324340000
65400120002452
7614505442166
oct133727157140
934753783745
1012337340000
11526111a167
122483900428
1312180074ab
14850751236
154c31a8235
hex2df5cde60

12337340000 has 240 divisors, whose sum is σ = 31500941472. Its totient is φ = 4752384000.

The previous prime is 12337339997. The next prime is 12337340009. The reversal of 12337340000 is 4373321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12337340009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109179944 + ... + 109180056.

Almost surely, 212337340000 is an apocalyptic number.

12337340000 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 12337340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750470736).

12337340000 is an abundant number, since it is smaller than the sum of its proper divisors (19163601472).

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

12337340000 is a wasteful number, since it uses less digits than its factorization.

12337340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The spelling of 12337340000 in words is "twelve billion, three hundred thirty-seven million, three hundred forty thousand".