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122312213221 = 1136341305971
BaseRepresentation
bin111000111101001100…
…0000100001011100101
3102200201011000012202011
41301322120010023211
54000443411310341
6132104531114221
711560003441552
oct1617230041345
9380634005664
10122312213221
1147966068140
121b856142971
13b6c3247583
145cc4473a29
1532ace8ab81
hex1c7a6042e5

122312213221 has 8 divisors (see below), whose sum is σ = 133435613088. Its totient is φ = 111189498000.

The previous prime is 122312213201. The next prime is 122312213239.

122312213221 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122312213221 - 235 = 87952474853 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122312213192 and 122312213201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312213201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246766 + ... + 552736.

It is an arithmetic number, because the mean of its divisors is an integer number (16679451636).

Almost surely, 2122312213221 is an apocalyptic number.

122312213221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122312213221 is a deficient number, since it is larger than the sum of its proper divisors (11123399867).

122312213221 is a wasteful number, since it uses less digits than its factorization.

122312213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342323.

The product of its digits is 576, while the sum is 22.

It can be divided in two parts, 122312 and 213221, that added together give a palindrome (335533).

The spelling of 122312213221 in words is "one hundred twenty-two billion, three hundred twelve million, two hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 11 36341 305971 399751 3365681 11119292111 122312213221