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12320823720384 = 2632193146378437
BaseRepresentation
bin1011001101001010101001…
…0100100011100111000000
31121121212012101111201201200
42303102222110203213000
53103331021333023014
642112035215501200
72411102332441044
oct263225224434700
947555171451650
1012320823720384
113a20260872473
12146ba36b27800
136b4b0576291a
1430848c588024
1516575d80aa09
hexb34aa5239c0

12320823720384 has 336 divisors, whose sum is σ = 38456657940480. Its totient is φ = 3757096949760.

The previous prime is 12320823720371. The next prime is 12320823720433. The reversal of 12320823720384 is 48302732802321.

12320823720384 is a `hidden beast` number, since 1 + 2 + 3 + 208 + 237 + 203 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157040014 + ... + 157118450.

Almost surely, 212320823720384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12320823720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19228328970240).

12320823720384 is an abundant number, since it is smaller than the sum of its proper divisors (26135834220096).

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

12320823720384 is a wasteful number, since it uses less digits than its factorization.

12320823720384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78968 (or 78955 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 12320823720384 in words is "twelve trillion, three hundred twenty billion, eight hundred twenty-three million, seven hundred twenty thousand, three hundred eighty-four".