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12341131200 = 2632524120903
BaseRepresentation
bin10110111111001011…
…01011011111000000
31011212002000102101100
423133211223133000
5200233312144300
65400333134400
7614552612226
oct133745533700
934762012340
1012341131200
115263279592
12248502a400
131218a33cc8
1485105ab16
154c36a6700
hex2df96b7c0

12341131200 has 252 divisors, whose sum is σ = 44935280208. Its totient is φ = 3210547200.

The previous prime is 12341131171. The next prime is 12341131207. The reversal of 12341131200 is 213114321.

12341131200 is a `hidden beast` number, since 1 + 23 + 411 + 31 + 200 = 666.

It is a super-2 number, since 2×123411312002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12341131207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 579949 + ... + 600851.

It is an arithmetic number, because the mean of its divisors is an integer number (178314604).

Almost surely, 212341131200 is an apocalyptic number.

12341131200 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 12341131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22467640104).

12341131200 is an abundant number, since it is smaller than the sum of its proper divisors (32594149008).

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

12341131200 is a wasteful number, since it uses less digits than its factorization.

12341131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20972 (or 20954 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12341131200 its reverse (213114321), we get a palindrome (12554245521).

The spelling of 12341131200 in words is "twelve billion, three hundred forty-one million, one hundred thirty-one thousand, two hundred".