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12122022121 = 112101991901
BaseRepresentation
bin10110100101000011…
…10110000011101001
31011021210201112020021
423102201312003221
5144311214201441
65322505000441
7606252326236
oct132241660351
934253645207
1012122022121
115160624700
122423783121
1311b2518c71
1482dd0278d
154ae3253d1
hex2d28760e9

12122022121 has 12 divisors (see below), whose sum is σ = 13456142532. Its totient is φ = 10910900000.

The previous prime is 12122022119. The next prime is 12122022131.

It is a happy number.

12122022121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 10243666521 + 1878355600 = 101211^2 + 43340^2 .

It is not a de Polignac number, because 12122022121 - 21 = 12122022119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122022095 and 12122022104.

It is not an unprimeable number, because it can be changed into a prime (12122022131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483730 + ... + 508171.

It is an arithmetic number, because the mean of its divisors is an integer number (1121345211).

Almost surely, 212122022121 is an apocalyptic number.

12122022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122022121 is a deficient number, since it is larger than the sum of its proper divisors (1334120411).

12122022121 is a wasteful number, since it uses less digits than its factorization.

12122022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992024 (or 992013 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 121220 and 22121, that added together give a palindrome (143341).

The spelling of 12122022121 in words is "twelve billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 11 101 121 1111 12221 991901 10910911 100182001 120020021 1102002011 12122022121