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12122333002131 = 3111013637063607
BaseRepresentation
bin1011000001100111001101…
…0110100011100110010011
31120220212212020012111120020
42300121303112203212103
53042103014222032011
641440531202514523
72360544466250262
oct260316326434623
946825766174506
1012122333002131
113954063a50a60
121439480965a43
1369c192035691
142dca1cb045d9
151604e2b16006
hexb06735a3993

12122333002131 has 16 divisors (see below), whose sum is σ = 17807063424768. Its totient is φ = 7274127212000.

The previous prime is 12122333002103. The next prime is 12122333002159. The reversal of 12122333002131 is 13120033322121.

12122333002131 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 (12122333002103) and next prime (12122333002159).

It is not a de Polignac number, because 12122333002131 - 214 = 12122332985747 is a prime.

It is a super-2 number, since 2×121223330021312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122333002831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1818528471 + ... + 1818535136.

It is an arithmetic number, because the mean of its divisors is an integer number (1112941464048).

Almost surely, 212122333002131 is an apocalyptic number.

12122333002131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12122333002131 is a deficient number, since it is larger than the sum of its proper divisors (5684730422637).

12122333002131 is a wasteful number, since it uses less digits than its factorization.

12122333002131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637063722.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12122333002131 its reverse (13120033322121), we get a palindrome (25242366324252).

The spelling of 12122333002131 in words is "twelve trillion, one hundred twenty-two billion, three hundred thirty-three million, two thousand, one hundred thirty-one".

Divisors: 1 3 11 33 101 303 1111 3333 3637063607 10911190821 40007699677 120023099031 367343424307 1102030272921 4040777667377 12122333002131