Search a number
-
+
12210333000 = 2335337412683
BaseRepresentation
bin10110101111100101…
…01110010101001000
31011111221220011222120
423113302232111020
5200001321124000
65335341451240
7611404055325
oct132762562510
934457804876
1012210333000
1151a64619a8
122449270b20
1311c78c9118
1483b92db4c
154b6e6b6a0
hex2d7cae548

12210333000 has 256 divisors, whose sum is σ = 40095095040. Its totient is φ = 3089664000.

The previous prime is 12210332971. The next prime is 12210333001. The reversal of 12210333000 is 33301221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12210333001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4549659 + ... + 4552341.

It is an arithmetic number, because the mean of its divisors is an integer number (156621465).

Almost surely, 212210333000 is an apocalyptic number.

12210333000 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 12210333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20047547520).

12210333000 is an abundant number, since it is smaller than the sum of its proper divisors (27884762040).

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

12210333000 is a wasteful number, since it uses less digits than its factorization.

12210333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12210333000 its reverse (33301221), we get a palindrome (12243634221).

It can be divided in two parts, 12 and 210333000, that added together give a palindrome (210333012).

The spelling of 12210333000 in words is "twelve billion, two hundred ten million, three hundred thirty-three thousand".