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12339838391040 = 28345611951123
BaseRepresentation
bin1011001110010001011110…
…1011110001001100000000
31121200200021112222002020000
42303210113223301030000
53104133442112003130
642124502110120000
72412344461455456
oct263442753611400
947620245862200
1012339838391040
113a28329088a16
121473662ab0000
136b6845c68b34
14309373a609d6
15165ec2ce2260
hexb3917af1300

12339838391040 has 360 divisors, whose sum is σ = 44878060672368. Its totient is φ = 3236677263360.

The previous prime is 12339838390967. The next prime is 12339838391051. The reversal of 12339838391040 is 4019383893321.

12339838391040 is a `hidden beast` number, since 123 + 3 + 98 + 3 + 8 + 391 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×123398383910402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5348919 + ... + 7300041.

Almost surely, 212339838391040 is an apocalyptic number.

12339838391040 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 12339838391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22439030336184).

12339838391040 is an abundant number, since it is smaller than the sum of its proper divisors (32538222281328).

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

12339838391040 is an equidigital number, since it uses as much as digits as its factorization.

12339838391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951217 (or 1951194 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 12339838391040 in words is "twelve trillion, three hundred thirty-nine billion, eight hundred thirty-eight million, three hundred ninety-one thousand, forty".