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122214222412221 = 34127136371008101
BaseRepresentation
bin11011110010011100110111…
…010100000011100110111101
3121000201120021021212222012010
4123302130313110003212331
5112004324211414142341
61111532234431401433
734512454235146002
oct3362346724034675
9530646237788163
10122214222412221
1135a39840484a85
1211859b27983279
1353269a06c2734
1422272b28518a9
15e1e1144c0716
hex6f27375039bd

122214222412221 has 32 divisors (see below), whose sum is σ = 167588941072896. Its totient is φ = 79173754560000.

The previous prime is 122214222412211. The next prime is 122214222412237.

122214222412221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122214222412221 - 221 = 122214220315069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122214222412211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120728071 + ... + 121736171.

It is an arithmetic number, because the mean of its divisors is an integer number (5237154408528).

Almost surely, 2122214222412221 is an apocalyptic number.

It is an amenable number.

122214222412221 is a deficient number, since it is larger than the sum of its proper divisors (45374718660675).

122214222412221 is a wasteful number, since it uses less digits than its factorization.

122214222412221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012053.

The product of its digits is 8192, while the sum is 30.

The spelling of 122214222412221 in words is "one hundred twenty-two trillion, two hundred fourteen billion, two hundred twenty-two million, four hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 41 123 271 813 3637 10911 11111 33333 149117 447351 985627 1008101 2956881 3024303 40410707 41332141 121232121 123996423 273195371 819586113 3666463337 10999390011 11201010211 33603030633 150324996817 450974990451 993611564327 2980834692981 40738074137407 122214222412221