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122111101012 = 2280933772121
BaseRepresentation
bin111000110111001100…
…0111000100001010100
3102200012010120122122211
41301232120320201110
54000040420213022
6132032544403204
711552012142565
oct1615630704124
9380163518584
10122111101012
11478725955aa
121b7ba916504
13b690690c74
145ca588216c
15329a4b1e77
hex1c6e638854

122111101012 has 12 divisors (see below), whose sum is σ = 213720888276. Its totient is φ = 61047990080.

The previous prime is 122111100989. The next prime is 122111101037. The reversal of 122111101012 is 210101111221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93656809156 + 28454291856 = 306034^2 + 168684^2 .

It is a super-2 number, since 2×1221111010122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111100983 and 122111101001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1853689 + ... + 1918432.

It is an arithmetic number, because the mean of its divisors is an integer number (17810074023).

Almost surely, 2122111101012 is an apocalyptic number.

It is an amenable number.

122111101012 is a deficient number, since it is larger than the sum of its proper divisors (91609787264).

122111101012 is a wasteful number, since it uses less digits than its factorization.

122111101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780218 (or 3780216 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122111101012 its reverse (210101111221), we get a palindrome (332212212233).

The spelling of 122111101012 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred one thousand, twelve".

Divisors: 1 2 4 8093 16186 32372 3772121 7544242 15088484 30527775253 61055550506 122111101012