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12068989440 = 293531163311
BaseRepresentation
bin10110011110101111…
…00010101000000000
31011011002221012001220
423033113202220000
5144204130130230
65313332155040
7605036501064
oct131727425000
934132835056
1012068989440
1151336a2442
122409a68a80
1311a453b391
14826c59aa4
154a984bd10
hex2cf5e2a00

12068989440 has 320 divisors, whose sum is σ = 40200855552. Its totient is φ = 3085516800.

The previous prime is 12068989397. The next prime is 12068989453. The reversal of 12068989440 is 4498986021.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×120689894402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38806885 + ... + 38807195.

Almost surely, 212068989440 is an apocalyptic number.

12068989440 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 12068989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20100427776).

12068989440 is an abundant number, since it is smaller than the sum of its proper divisors (28131866112).

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

12068989440 is a wasteful number, since it uses less digits than its factorization.

12068989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 12068989440 in words is "twelve billion, sixty-eight million, nine hundred eighty-nine thousand, four hundred forty".