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12388872000 = 263533891327
BaseRepresentation
bin10111000100110111…
…10010111101000000
31011222101211220110010
423202123302331000
5200333022401000
65405200304520
7616002450231
oct134233627500
934871756403
1012388872000
11528821699a
122499012140
1312258aacbb
14857527088
154c7986d50
hex2e26f2f40

12388872000 has 224 divisors, whose sum is σ = 41044124160. Its totient is φ = 3292723200.

The previous prime is 12388871981. The next prime is 12388872011. The reversal of 12388872000 is 27888321.

12388872000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12388872000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9335337 + ... + 9336663.

Almost surely, 212388872000 is an apocalyptic number.

12388872000 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 12388872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20522062080).

12388872000 is an abundant number, since it is smaller than the sum of its proper divisors (28655252160).

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

12388872000 is a wasteful number, since it uses less digits than its factorization.

12388872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 12388872000 in words is "twelve billion, three hundred eighty-eight million, eight hundred seventy-two thousand".