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12322434202080 = 2535443177732611
BaseRepresentation
bin1011001101010000101001…
…0100000011100111100000
31121122000100121220200021220
42303110022110003213200
53103342321123431310
642112503110015040
72411160256345002
oct263241224034740
947560317820256
1012322434202080
113a20a07953182
121470206347480
136b50012c8582
143085a240a372
15165804dca670
hexb350a5039e0

12322434202080 has 192 divisors, whose sum is σ = 38926374052608. Its totient is φ = 3276619407360.

The previous prime is 12322434202049. The next prime is 12322434202129. The reversal of 12322434202080 is 8020243422321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377844975 + ... + 377877585.

It is an arithmetic number, because the mean of its divisors is an integer number (202741531524).

Almost surely, 212322434202080 is an apocalyptic number.

12322434202080 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 12322434202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19463187026304).

12322434202080 is an abundant number, since it is smaller than the sum of its proper divisors (26603939850528).

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

12322434202080 is a wasteful number, since it uses less digits than its factorization.

12322434202080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34849 (or 34841 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 12322434202080 in words is "twelve trillion, three hundred twenty-two billion, four hundred thirty-four million, two hundred two thousand, eighty".