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12189370050 = 23452111321619
BaseRepresentation
bin10110101101000101…
…10000011011000010
31011110111110011020000
423112202300123002
5144430434320200
65333312300430
7611030636004
oct132642603302
934414404200
1012189370050
115195644150
122442241716
1311c3469600
14838c34374
154b51ca300
hex2d68b06c2

12189370050 has 360 divisors, whose sum is σ = 40032772560. Its totient is φ = 2726006400.

The previous prime is 12189370027. The next prime is 12189370111. The reversal of 12189370050 is 5007398121.

It is a super-3 number, since 3×121893700503 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12189369987 and 12189370014.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7528141 + ... + 7529759.

It is an arithmetic number, because the mean of its divisors is an integer number (111202146).

Almost surely, 212189370050 is an apocalyptic number.

12189370050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12189370050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20016386280).

12189370050 is an abundant number, since it is smaller than the sum of its proper divisors (27843402510).

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

12189370050 is a wasteful number, since it uses less digits than its factorization.

12189370050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 12189370050 in words is "twelve billion, one hundred eighty-nine million, three hundred seventy thousand, fifty".