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12331001002320 = 24325731113379437
BaseRepresentation
bin1011001101110000100011…
…1011110011100101010000
31121122211110122212012221200
42303130020323303211100
53104012342224033240
642120441134151200
72411612462061000
oct263341073634520
947584418765850
1012331001002320
113a24603662a80
1214719b7352500
136b5a680b1a40
14308b76098000
15165b57036930
hexb3708ef3950

12331001002320 has 1920 divisors, whose sum is σ = 58275920102400. Its totient is φ = 2301019176960.

The previous prime is 12331001002319. The next prime is 12331001002337. The reversal of 12331001002320 is 2320010013321.

12331001002320 is a `hidden beast` number, since 1 + 2 + 331 + 0 + 0 + 10 + 0 + 2 + 320 = 666.

12331001002320 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12331001002293 and 12331001002302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1306660642 + ... + 1306670078.

It is an arithmetic number, because the mean of its divisors is an integer number (30352041720).

Almost surely, 212331001002320 is an apocalyptic number.

12331001002320 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 12331001002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29137960051200).

12331001002320 is an abundant number, since it is smaller than the sum of its proper divisors (45944919100080).

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

12331001002320 is a wasteful number, since it uses less digits than its factorization.

12331001002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9538 (or 9515 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12331001002320 its reverse (2320010013321), we get a palindrome (14651011015641).

The spelling of 12331001002320 in words is "twelve trillion, three hundred thirty-one billion, one million, two thousand, three hundred twenty".