Search a number
-
+
122211101121211 = 1572106913213511
BaseRepresentation
bin11011110010011001111101…
…010001010001101010111011
3121000201021012202121221212101
4123302121331101101222323
5112004301313341334321
61111531001011324231
734512314004464134
oct3362317521215273
9530637182557771
10122211101121211
1135a38489600933
12118593b65b0677
1353265c3b5178b
1422270980b4c8b
15e1ded046d791
hex6f267d451abb

122211101121211 has 24 divisors (see below), whose sum is σ = 123237814155360. Its totient is φ = 121192725139200.

The previous prime is 122211101121181. The next prime is 122211101121217. The reversal of 122211101121211 is 112121101112221.

It is not a de Polignac number, because 122211101121211 - 225 = 122211067566779 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122211101121217) 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, 34808058946 + ... + 34808062456.

It is an arithmetic number, because the mean of its divisors is an integer number (5134908923140).

Almost surely, 2122211101121211 is an apocalyptic number.

122211101121211 is a deficient number, since it is larger than the sum of its proper divisors (1026713034149).

122211101121211 is a wasteful number, since it uses less digits than its factorization.

122211101121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6215 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 122211101121211 its reverse (112121101112221), we get a palindrome (234332202233432).

The spelling of 122211101121211 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred one million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 157 1069 1321 3511 24649 167833 207397 551227 1412149 3753259 4638031 26349781 32561329 86542639 221707393 589261663 728170867 4958055139 34808060701 92514081091 114322826119 778414656823 122211101121211