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12220122200121 = 331141145192593
BaseRepresentation
bin1011000111010011100000…
…0010101111100000111001
31121021020021022211110121000
42301310320002233200321
53100203302240400441
641553502512435213
72400606006600003
oct261647002574071
947236238743530
1012220122200121
113991585449860
121454412248b09
136a8477800b44
143036582b5373
15162d17bed2b6
hexb1d380af839

12220122200121 has 16 divisors (see below), whose sum is σ = 19749692445120. Its totient is φ = 7406134666560.

The previous prime is 12220122200071. The next prime is 12220122200161. The reversal of 12220122200121 is 12100222102221.

It is a happy number.

12220122200121 is a `hidden beast` number, since 1 + 2 + 220 + 122 + 200 + 121 = 666.

It is not a de Polignac number, because 12220122200121 - 227 = 12219987982393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12220122200094 and 12220122200103.

It is not an unprimeable number, because it can be changed into a prime (12220122200161) 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, 20572596000 + ... + 20572596593.

It is an arithmetic number, because the mean of its divisors is an integer number (1234355777820).

Almost surely, 212220122200121 is an apocalyptic number.

12220122200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12220122200121 is a deficient number, since it is larger than the sum of its proper divisors (7529570244999).

12220122200121 is a wasteful number, since it uses less digits than its factorization.

12220122200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41145192613 (or 41145192607 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220122200121 its reverse (12100222102221), we get a palindrome (24320344302342).

It can be divided in two parts, 122201 and 22200121, that added together give a palindrome (22322322).

The spelling of 12220122200121 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 41145192593 123435577779 370306733337 452597118523 1110920200011 1357791355569 4073374066707 12220122200121