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12121258083 = 3112397116447
BaseRepresentation
bin10110100100111101…
…11011100001100011
31011021202021201011120
423102132323201203
5144311020224313
65322440343323
7606242664564
oct132236734143
934252251146
1012121258083
115160152670
122423474b43
1311b230c27c
1482db8416b
154ae223d23
hex2d27bb863

12121258083 has 32 divisors (see below), whose sum is σ = 18417549312. Its totient is φ = 7019152800.

The previous prime is 12121258027. The next prime is 12121258109. The reversal of 12121258083 is 38085212121.

It is a de Polignac number, because none of the positive numbers 2k-12121258083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12121254083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 728766 + ... + 745212.

It is an arithmetic number, because the mean of its divisors is an integer number (575548416).

Almost surely, 212121258083 is an apocalyptic number.

12121258083 is a deficient number, since it is larger than the sum of its proper divisors (6296291229).

12121258083 is a wasteful number, since it uses less digits than its factorization.

12121258083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17455.

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 12121258083 in words is "twelve billion, one hundred twenty-one million, two hundred fifty-eight thousand, eighty-three".

Divisors: 1 3 11 23 33 69 253 759 971 2913 10681 16447 22333 32043 49341 66999 180917 245663 378281 542751 736989 1134843 4161091 12483273 15970037 47910111 175670407 367310851 527011221 1101932553 4040419361 12121258083