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122101221 = 3112379091
BaseRepresentation
bin1110100011100…
…01110111100101
322111202101101110
413101301313211
5222224214341
620041015233
73011562144
oct721616745
9274671343
10122101221
1162a17500
1234a84519
131c3b1458
141230575b
15aabd216
hex7471de5

122101221 has 24 divisors (see below), whose sum is σ = 183803872. Its totient is φ = 71992800.

The previous prime is 122101211. The next prime is 122101249.

122101221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122101221 - 27 = 122101093 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122101197 and 122101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8886 + ... + 17976.

Almost surely, 2122101221 is an apocalyptic number.

122101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101221 is a deficient number, since it is larger than the sum of its proper divisors (61702651).

122101221 is a wasteful number, since it uses less digits than its factorization.

122101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9153 (or 9142 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 122101221 is about 11049.9421265453. The cubic root of 122101221 is about 496.1046933117.

It can be divided in two parts, 12210 and 1221, that added together give a palindrome (13431).

The spelling of 122101221 in words is "one hundred twenty-two million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 9091 13431 27273 100001 300003 336367 1009101 1100011 3300033 3700037 11100111 40700407 122101221