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122111201110221 = 3217798112425557
BaseRepresentation
bin11011110000111100111010…
…110000111110100011001101
3121000100201100120010120202100
4123300330322300332203031
5112001132214441011341
61111413040015345313
734502146253423601
oct3360747260764315
9530321316116670
10122111201110221
11359aa084659a84
1211841b76222239
13531a062c8083b
1422222dc441501
15e1b5d4dd53b6
hex6f0f3ac3e8cd

122111201110221 has 12 divisors (see below), whose sum is σ = 186758307580572. Its totient is φ = 76618792853376.

The previous prime is 122111201110201. The next prime is 122111201110253. The reversal of 122111201110221 is 122011102111221.

It is a happy number.

122111201110221 is a `hidden beast` number, since 1 + 2 + 211 + 120 + 1 + 110 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66403935597321 + 55707265512900 = 8148861^2 + 7463730^2 .

It is not a de Polignac number, because 122111201110221 - 213 = 122111201102029 is a prime.

It is a super-2 number, since 2×1221112011102212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111201110194 and 122111201110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111201110201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399056212626 + ... + 399056212931.

It is an arithmetic number, because the mean of its divisors is an integer number (15563192298381).

Almost surely, 2122111201110221 is an apocalyptic number.

It is an amenable number.

122111201110221 is a deficient number, since it is larger than the sum of its proper divisors (64647106470351).

122111201110221 is a wasteful number, since it uses less digits than its factorization.

122111201110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798112425580 (or 798112425577 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122111201110221 its reverse (122011102111221), we get a palindrome (244122303221442).

The spelling of 122111201110221 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred one million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 153 798112425557 2394337276671 7183011830013 13567911234469 40703733703407 122111201110221