Search a number
-
+
12243210000 = 243547173337
BaseRepresentation
bin10110110011100000…
…01000111100010000
31011121020202111202020
423121300020330100
5200033230210000
65342514251440
7612253365540
oct133160107420
934536674666
1012243210000
115212a7797a
122458286b80
13120166a778
1484204b320
154b9cb2ba0
hex2d9c08f10

12243210000 has 400 divisors, whose sum is σ = 45564714624. Its totient is φ = 2774016000.

The previous prime is 12243209981. The next prime is 12243210037. The reversal of 12243210000 is 1234221.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×122432100002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36329832 + ... + 36330168.

Almost surely, 212243210000 is an apocalyptic number.

12243210000 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 12243210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22782357312).

12243210000 is an abundant number, since it is smaller than the sum of its proper divisors (33321504624).

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

12243210000 is a wasteful number, since it uses less digits than its factorization.

12243210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12243210000 its reverse (1234221), we get a palindrome (12244444221).

The spelling of 12243210000 in words is "twelve billion, two hundred forty-three million, two hundred ten thousand".