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122214242412221 = 7313712220202221
BaseRepresentation
bin11011110010011100111000…
…100000010110011010111101
3121000201120022200112002000212
4123302130320200112122331
5112004324232024142341
61111532240424202205
734512454600145021
oct3362347040263275
9530646280462025
10122214242412221
1135a398507a5303
1211859b32609365
1353269a48a5b5b
1422272b537a381
15e1e1161215eb
hex6f27388166bd

122214242412221 has 8 divisors (see below), whose sum is σ = 124792705091064. Its totient is φ = 119660220138240.

The previous prime is 122214242412109. The next prime is 122214242412239.

122214242412221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19888656508900 + 102325585903321 = 4459670^2 + 10115611^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122214242412221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122214242417221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6110091110 + ... + 6110111111.

It is an arithmetic number, because the mean of its divisors is an integer number (15599088136383).

Almost surely, 2122214242412221 is an apocalyptic number.

It is an amenable number.

122214242412221 is a deficient number, since it is larger than the sum of its proper divisors (2578462678843).

122214242412221 is a wasteful number, since it uses less digits than its factorization.

122214242412221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12220202431.

The product of its digits is 16384, while the sum is 32.

The spelling of 122214242412221 in words is "one hundred twenty-two trillion, two hundred fourteen billion, two hundred forty-two million, four hundred twelve thousand, two hundred twenty-one".

Divisors: 1 73 137 10001 12220202221 892074762133 1674167704277 122214242412221