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12069021888 = 26327111716007
BaseRepresentation
bin10110011110101111…
…01010100011000000
31011011002222211120200
423033113222203000
5144204132200023
65313333005200
7605036664510
oct131727524300
934132884520
1012069021888
115133714860
122409a83800
1311a4550091
14826c67840
154a9856743
hex2cf5ea8c0

12069021888 has 336 divisors, whose sum is σ = 45669671424. Its totient is φ = 2950225920.

The previous prime is 12069021857. The next prime is 12069021919. The reversal of 12069021888 is 88812096021.

It is a happy number.

12069021888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12069021857) and next prime (12069021919).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×120690218882 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 745981 + ... + 761987.

Almost surely, 212069021888 is an apocalyptic number.

12069021888 is a gapful number since it is divisible by the number (18) 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 12069021888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22834835712).

12069021888 is an abundant number, since it is smaller than the sum of its proper divisors (33600649536).

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

12069021888 is a wasteful number, since it uses less digits than its factorization.

12069021888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16060 (or 16047 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 12069021888 in words is "twelve billion, sixty-nine million, twenty-one thousand, eight hundred eighty-eight".