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122111220222 = 2333137224661
BaseRepresentation
bin111000110111001100…
…1010101100111111110
3102200012010210201012000
41301232121111213332
54000040433021342
6132032551123130
711552013150255
oct1615631254776
9380163721160
10122111220222
1147872667122
121b7ba9734a6
13b6907032c4
145ca58b379c
15329a4d744c
hex1c6e6559fe

122111220222 has 32 divisors (see below), whose sum is σ = 272225264160. Its totient is φ = 40573690560.

The previous prime is 122111220221. The next prime is 122111220227. The reversal of 122111220222 is 222022111221.

It is a happy number.

122111220222 is a `hidden beast` number, since 1 + 221 + 1 + 1 + 220 + 222 = 666.

It is a super-2 number, since 2×1221112202222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122111220195 and 122111220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111220221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3595429 + ... + 3629232.

It is an arithmetic number, because the mean of its divisors is an integer number (8507039505).

Almost surely, 2122111220222 is an apocalyptic number.

122111220222 is an abundant number, since it is smaller than the sum of its proper divisors (150114043938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122111220222 is a wasteful number, since it uses less digits than its factorization.

122111220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7224985 (or 7224979 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122111220222 its reverse (222022111221), we get a palindrome (344133331443).

The spelling of 122111220222 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 313 626 939 1878 2817 5634 8451 16902 7224661 14449322 21673983 43347966 65021949 130043898 195065847 390131694 2261318893 4522637786 6783956679 13567913358 20351870037 40703740074 61055610111 122111220222