Search a number
-
+
122211121221 = 3371409458921
BaseRepresentation
bin111000111010001011…
…0011011100001000101
3102200110002210012121000
41301310112123201011
54000242021334341
6132050520243513
711554335250650
oct1616426334105
9380402705530
10122211121221
1147913aa0232
121b828310599
13b6a8310a17
145cb4c7a897
1532a416c8b6
hex1c7459b845

122211121221 has 32 divisors (see below), whose sum is σ = 207065606400. Its totient is φ = 69785210880.

The previous prime is 122211121213. The next prime is 122211121229. The reversal of 122211121221 is 122121112221.

It is an interprime number because it is at equal distance from previous prime (122211121213) and next prime (122211121229).

It is not a de Polignac number, because 122211121221 - 23 = 122211121213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122211121194 and 122211121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211121229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36841 + ... + 495761.

It is an arithmetic number, because the mean of its divisors is an integer number (6470800200).

Almost surely, 2122211121221 is an apocalyptic number.

It is an amenable number.

122211121221 is a deficient number, since it is larger than the sum of its proper divisors (84854485179).

122211121221 is a wasteful number, since it uses less digits than its factorization.

122211121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460346 (or 460340 counting only the distinct ones).

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

Adding to 122211121221 its reverse (122121112221), we get a palindrome (244332233442).

The spelling of 122211121221 in words is "one hundred twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 1409 4227 9863 12681 29589 38043 88767 266301 458921 1376763 3212447 4130289 9637341 12390867 28912023 86736069 646619689 1939859067 4526337823 5819577201 13579013469 17458731603 40737040407 122211121221