Search a number
-
+
12216630600 = 233552416131
BaseRepresentation
bin10110110000010101…
…01111110101001000
31011112101202010200000
423120022233311020
5200004424134400
65340124443000
7611511434556
oct133012576510
934471663600
1012216630600
1151a9a73429
12244b3a9460
1311c8cc2705
1483c6ccbd6
154b77b2600
hex2d82afd48

12216630600 has 288 divisors, whose sum is σ = 43591897440. Its totient is φ = 3177792000.

The previous prime is 12216630529. The next prime is 12216630637. The reversal of 12216630600 is 603661221.

12216630600 is a `hidden beast` number, since 1 + 2 + 21 + 6 + 6 + 30 + 600 = 666.

12216630600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1989535 + ... + 1995665.

It is an arithmetic number, because the mean of its divisors is an integer number (151360755).

Almost surely, 212216630600 is an apocalyptic number.

12216630600 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 12216630600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21795948720).

12216630600 is an abundant number, since it is smaller than the sum of its proper divisors (31375266840).

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

12216630600 is a wasteful number, since it uses less digits than its factorization.

12216630600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12216630600 in words is "twelve billion, two hundred sixteen million, six hundred thirty thousand, six hundred".