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122120222021221 = 101103109184758309
BaseRepresentation
bin11011110001000101010100…
…011101000001011001100101
3121000101120122020120100021011
4123301011110131001121211
5112001304203314134341
61111421131105022221
734502615642046634
oct3361052435013145
9530346566510234
10122120222021221
1135a02993732a26
1211843873324971
13531ab6cb72ab8
14222291653b51b
15e1b961d42b81
hex6f1154741665

122120222021221 has 32 divisors (see below), whose sum is σ = 125739348134400. Its totient is φ = 118572443308800.

The previous prime is 122120222021177. The next prime is 122120222021269.

122120222021221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122120222021221 - 213 = 122120222013029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122120222021192 and 122120222021201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120222021621) 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, 2094334015 + ... + 2094392323.

It is an arithmetic number, because the mean of its divisors is an integer number (3929354629200).

Almost surely, 2122120222021221 is an apocalyptic number.

It is an amenable number.

122120222021221 is a deficient number, since it is larger than the sum of its proper divisors (3619126113179).

122120222021221 is a wasteful number, since it uses less digits than its factorization.

122120222021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60469.

The product of its (nonzero) digits is 512, while the sum is 22.

The spelling of 122120222021221 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-two million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 101 103 109 1847 10403 11009 11227 58309 186547 190241 201323 1133927 5889209 6005827 6355681 19214341 20333623 20736269 107696723 606588527 641923781 654635143 2094363169 10877369023 11092762469 11738942807 66118149443 1120369009369 1185633223507 1209111109121 122120222021221