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122222100121 = 11231591673307
BaseRepresentation
bin111000111010100000…
…0010011111010011001
3102200110212102222210221
41301311000103322121
54000302324200441
6132051551440041
711554530465262
oct1616500237231
9380425388727
10122222100121
114791a209900
121b82bb26021
13b6aa686004
145cb64d7969
1532a50da8d1
hex1c75013e99

122222100121 has 48 divisors (see below), whose sum is σ = 141914787840. Its totient is φ = 105039554400.

The previous prime is 122222100113. The next prime is 122222100131. The reversal of 122222100121 is 121001222221.

It is a happy number.

It is not a de Polignac number, because 122222100121 - 23 = 122222100113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122222100095 and 122222100104.

It is not an unprimeable number, because it can be changed into a prime (122222100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36956950 + ... + 36960256.

It is an arithmetic number, because the mean of its divisors is an integer number (2956558080).

Almost surely, 2122222100121 is an apocalyptic number.

122222100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122222100121 is a deficient number, since it is larger than the sum of its proper divisors (19692687719).

122222100121 is a wasteful number, since it uses less digits than its factorization.

122222100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122222100121 its reverse (121001222221), we get a palindrome (243223322342).

It can be divided in two parts, 122222100 and 121, that added together give a palindrome (122222221).

The spelling of 122222100121 in words is "one hundred twenty-two billion, two hundred twenty-two million, one hundred thousand, one hundred twenty-one".

Divisors: 1 11 31 59 121 167 341 649 1829 1837 3307 3751 5177 7139 9853 20119 20207 36377 56947 102517 108383 195113 221309 305443 400147 552269 626417 1127687 1192213 2146243 3359873 6048503 6074959 12404557 17120339 23608673 32583871 36958603 66533533 66824549 188323729 358422581 731868863 1010100001 2071561019 3942648391 11111100011 122222100121