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12240341400 = 2335275415387
BaseRepresentation
bin10110110011001010…
…01100100110011000
31011121001100202202210
423121211030212120
5200032011411100
65342332555120
7612220120350
oct133145144630
934531322683
1012240341400
115211398731
122457322aa0
131200ba4b81
14841901b60
154b98e7c50
hex2d994c998

12240341400 has 192 divisors, whose sum is σ = 43454004480. Its totient is φ = 2792102400.

The previous prime is 12240341389. The next prime is 12240341401. The reversal of 12240341400 is 414304221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240341401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2269507 + ... + 2274893.

It is an arithmetic number, because the mean of its divisors is an integer number (226322940).

Almost surely, 212240341400 is an apocalyptic number.

12240341400 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 12240341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21727002240).

12240341400 is an abundant number, since it is smaller than the sum of its proper divisors (31213663080).

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

12240341400 is a wasteful number, since it uses less digits than its factorization.

12240341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12240341400 its reverse (414304221), we get a palindrome (12654645621).

The spelling of 12240341400 in words is "twelve billion, two hundred forty million, three hundred forty-one thousand, four hundred".