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122122111221 = 32114093016031
BaseRepresentation
bin111000110111100001…
…0111000100011110101
3102200012220022000211100
41301233002320203311
54000101230024341
6132034020400313
711552204550405
oct1615702704365
9380186260740
10122122111221
1147878825750
121b802546099
13b692a47596
145ca710a805
15329b4393b6
hex1c6f0b88f5

122122111221 has 24 divisors (see below), whose sum is σ = 192905406720. Its totient is φ = 73832414400.

The previous prime is 122122111219. The next prime is 122122111273. The reversal of 122122111221 is 122111221221.

122122111221 is a `hidden beast` number, since 1 + 221 + 221 + 1 + 1 + 221 = 666.

It is not a de Polignac number, because 122122111221 - 21 = 122122111219 is a prime.

It is a super-2 number, since 2×1221221112212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122122111194 and 122122111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122111291) 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, 1467525 + ... + 1548506.

It is an arithmetic number, because the mean of its divisors is an integer number (8037725280).

Almost surely, 2122122111221 is an apocalyptic number.

122122111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122122111221 is a deficient number, since it is larger than the sum of its proper divisors (70783295499).

122122111221 is a wasteful number, since it uses less digits than its factorization.

122122111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016457 (or 3016454 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 122122111221 its reverse (122111221221), we get a palindrome (244233332442).

Subtracting from 122122111221 its reverse (122111221221), we obtain a square (10890000 = 33002).

The spelling of 122122111221 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 409 1227 3681 4499 13497 40491 3016031 9048093 27144279 33176341 99529023 298587069 1233556679 3700670037 11102010111 13569123469 40707370407 122122111221