Search a number
-
+
12098103525612 = 223313311061261983
BaseRepresentation
bin1011000000001100111100…
…1010011100000011101100
31120211120022122011120021000
42300003033022130003230
53041203404000304422
641421443025040300
72356026166144116
oct260031712340354
946746278146230
1012098103525612
1139448600526a5
12143483a486090
13699b00331420
142db7a0c123b6
1515ea758e6cac
hexb00cf29c0ec

12098103525612 has 192 divisors, whose sum is σ = 34900795883520. Its totient is φ = 3599003923200.

The previous prime is 12098103525593. The next prime is 12098103525701. The reversal of 12098103525612 is 21652530189021.

12098103525612 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 8 + 1 + 0 + 3 + 5 + 25 + 612 = 666.

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 63 ways as a sum of consecutive naturals, for example, 46047973 + ... + 46309955.

It is an arithmetic number, because the mean of its divisors is an integer number (181774978560).

Almost surely, 212098103525612 is an apocalyptic number.

12098103525612 is a gapful number since it is divisible by the number (12) 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 12098103525612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450397941760).

12098103525612 is an abundant number, since it is smaller than the sum of its proper divisors (22802692357908).

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

12098103525612 is a wasteful number, since it uses less digits than its factorization.

12098103525612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263101 (or 263093 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12098103525612 in words is "twelve trillion, ninety-eight billion, one hundred three million, five hundred twenty-five thousand, six hundred twelve".