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12033212085 = 3251715729689
BaseRepresentation
bin10110011010011110…
…00011111010110101
31011001121121111202200
423031033003322311
5144121000241320
65310013255113
7604123420656
oct131517037265
934047544680
1012033212085
115115486384
1223b9a94499
131199cc284b
148221c552d
154a6631290
hex2cd3c3eb5

12033212085 has 24 divisors (see below), whose sum is σ = 22084484760. Its totient is φ = 6040200192.

The previous prime is 12033212029. The next prime is 12033212129. The reversal of 12033212085 is 58021233021.

12033212085 is a `hidden beast` number, since 120 + 332 + 1 + 208 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6660028881 + 5373183204 = 81609^2 + 73302^2 .

It is not a de Polignac number, because 12033212085 - 29 = 12033211573 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7864080 + ... + 7865609.

It is an arithmetic number, because the mean of its divisors is an integer number (920186865).

Almost surely, 212033212085 is an apocalyptic number.

12033212085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12033212085 is a deficient number, since it is larger than the sum of its proper divisors (10051272675).

12033212085 is a wasteful number, since it uses less digits than its factorization.

12033212085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15729717 (or 15729714 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12033212085 in words is "twelve billion, thirty-three million, two hundred twelve thousand, eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 15729689 47189067 78648445 141567201 235945335 267404713 707836005 802214139 1337023565 2406642417 4011070695 12033212085