Search a number
-
+
12310012000 = 2553111321521
BaseRepresentation
bin10110111011011101…
…11110000001100000
31011202220110101212101
423131232332001200
5200202330341000
65353302140144
7614024242546
oct133556760140
934686411771
1012310012000
115247754240
122476721654
131212459790
1484ac79d96
154c0aaae6a
hex2ddbbe060

12310012000 has 192 divisors, whose sum is σ = 35535060288. Its totient is φ = 4131840000.

The previous prime is 12310011983. The next prime is 12310012051. The reversal of 12310012000 is 21001321.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561240 + ... + 582760.

It is an arithmetic number, because the mean of its divisors is an integer number (185078439).

Almost surely, 212310012000 is an apocalyptic number.

12310012000 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 12310012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17767530144).

12310012000 is an abundant number, since it is smaller than the sum of its proper divisors (23225048288).

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

12310012000 is a wasteful number, since it uses less digits than its factorization.

12310012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21570 (or 21552 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12310012000 its reverse (21001321), we get a palindrome (12331013321).

The spelling of 12310012000 in words is "twelve billion, three hundred ten million, twelve thousand".