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12340352244000 = 2535311149627433
BaseRepresentation
bin1011001110010011011001…
…0011111101100100100000
31121200201121100212111222010
42303210312103331210200
53104141020133302000
642125025103512520
72412363301240164
oct263446623754440
947621540774863
1012340352244000
113a28572147290
121473786bb8740
136b68c8561441
143093c1dc0ca4
15166002e94d50
hexb39364fd920

12340352244000 has 384 divisors, whose sum is σ = 44398233734400. Its totient is φ = 2971517952000.

The previous prime is 12340352243987. The next prime is 12340352244041. The reversal of 12340352244000 is 44225304321.

12340352244000 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19354284 + ... + 19981716.

It is an arithmetic number, because the mean of its divisors is an integer number (115620400350).

Almost surely, 212340352244000 is an apocalyptic number.

12340352244000 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 12340352244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22199116867200).

12340352244000 is an abundant number, since it is smaller than the sum of its proper divisors (32057881490400).

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

12340352244000 is a wasteful number, since it uses less digits than its factorization.

12340352244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627621 (or 627603 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 12340352244000 its reverse (44225304321), we get a palindrome (12384577548321).

The spelling of 12340352244000 in words is "twelve trillion, three hundred forty billion, three hundred fifty-two million, two hundred forty-four thousand".