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12242434043340 = 2232517191391514879
BaseRepresentation
bin1011001000100110100111…
…1011101010110111001100
31121100100212021111112112200
42302021221323222313030
53101040001103341330
642012032505001500
72402325633252414
oct262115173526714
947310767445480
1012242434043340
11399aa94948906
1214587ba483290
136aa5c2139437
1430477362d644
151636c18c9a60
hexb2269eeadcc

12242434043340 has 288 divisors, whose sum is σ = 41687073792000. Its totient is φ = 2889950939136.

The previous prime is 12242434043327. The next prime is 12242434043347. The reversal of 12242434043340 is 4334043424221.

12242434043340 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 243 + 404 + 3 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12242434043295 and 12242434043304.

It is not an unprimeable number, because it can be changed into a prime (12242434043347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7324021 + ... + 8838899.

It is an arithmetic number, because the mean of its divisors is an integer number (144746784000).

Almost surely, 212242434043340 is an apocalyptic number.

12242434043340 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 12242434043340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20843536896000).

12242434043340 is an abundant number, since it is smaller than the sum of its proper divisors (29444639748660).

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

12242434043340 is a wasteful number, since it uses less digits than its factorization.

12242434043340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515069 (or 1515064 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 12242434043340 its reverse (4334043424221), we get a palindrome (16576477467561).

The spelling of 12242434043340 in words is "twelve trillion, two hundred forty-two billion, four hundred thirty-four million, forty-three thousand, three hundred forty".