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122112212232211 is a prime number
BaseRepresentation
bin11011110000111101110111…
…000010000110100000010011
3121000100210222000201220100221
4123300331313002012200103
5112001141302312412321
61111413324215253511
734502213312006245
oct3360756702064023
9530323860656327
10122112212232211
11359aa553389993
12118421b897a297
13531a1945b3186
142222396846095
15e1b643a61e41
hex6f0f77086813

122112212232211 has 2 divisors, whose sum is σ = 122112212232212. Its totient is φ = 122112212232210.

The previous prime is 122112212232137. The next prime is 122112212232319. The reversal of 122112212232211 is 112232212211221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122112212232211 - 27 = 122112212232083 is a prime.

It is a super-2 number, since 2×1221122122322112 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112212032211) 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 as a sum of consecutive naturals, namely, 61056106116105 + 61056106116106.

It is an arithmetic number, because the mean of its divisors is an integer number (61056106116106).

Almost surely, 2122112212232211 is an apocalyptic number.

122112212232211 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112212232211 is an equidigital number, since it uses as much as digits as its factorization.

122112212232211 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 25.

Adding to 122112212232211 its reverse (112232212211221), we get a palindrome (234344424443432).

The spelling of 122112212232211 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twelve million, two hundred thirty-two thousand, two hundred eleven".