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122120102221 = 1379331184149
BaseRepresentation
bin111000110111011101…
…1001110000101001101
3102200012202111221222221
41301232323032011031
54000100221232341
6132033505335341
711552151512305
oct1615673160515
9380182457887
10122120102221
1147877683317
121b801937551
13b6924c3020
145ca6b46605
15329b18ded1
hex1c6eece14d

122120102221 has 8 divisors (see below), whose sum is σ = 131530645400. Its totient is φ = 112711943232.

The previous prime is 122120102189. The next prime is 122120102243. The reversal of 122120102221 is 122201021221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7852440996 + 114267661225 = 88614^2 + 338035^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 122120102221 - 25 = 122120102189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122120102195 and 122120102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120102281) 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, 488946 + ... + 695203.

It is an arithmetic number, because the mean of its divisors is an integer number (16441330675).

Almost surely, 2122120102221 is an apocalyptic number.

It is an amenable number.

122120102221 is a deficient number, since it is larger than the sum of its proper divisors (9410543179).

122120102221 is a wasteful number, since it uses less digits than its factorization.

122120102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192095.

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

Adding to 122120102221 its reverse (122201021221), we get a palindrome (244321123442).

The spelling of 122120102221 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 13 7933 103129 1184149 15393937 9393854017 122120102221