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12112122122122 = 21143251401127207
BaseRepresentation
bin1011000001000001001010…
…1111001000111110001010
31120212220111121122001110011
42300100102233020332022
53041421111230401442
641432122044142134
72360033451224641
oct260202257107612
946786447561404
1012112122122122
11394a7a41a2750
1214374b123794a
1369b225751949
142dc33096a358
151600e64a0117
hexb0412bc8f8a

12112122122122 has 64 divisors (see below), whose sum is σ = 20412499903488. Its totient is φ = 5342652000000.

The previous prime is 12112122122117. The next prime is 12112122122143. The reversal of 12112122122122 is 22122122121121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12112122122093 and 12112122122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95152243 + ... + 95279449.

It is an arithmetic number, because the mean of its divisors is an integer number (318945310992).

Almost surely, 212112122122122 is an apocalyptic number.

12112122122122 is a deficient number, since it is larger than the sum of its proper divisors (8300377781366).

12112122122122 is a wasteful number, since it uses less digits than its factorization.

12112122122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127915.

The product of its digits is 256, while the sum is 22.

Adding to 12112122122122 its reverse (22122122121121), we get a palindrome (34234244243243).

The spelling of 12112122122122 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 43 86 251 401 473 502 802 946 2761 4411 5522 8822 10793 17243 21586 34486 100651 118723 127207 189673 201302 237446 254414 379346 1107161 1399277 2214322 2798554 4327993 5469901 8655986 10939802 31928957 47607923 51010007 60168911 63857914 95215846 102020014 120337822 351218527 561110077 702437054 1122220154 1372945151 2193430301 2745890302 4386860602 12803511757 15102396661 24127733311 25607023514 30204793322 48255466622 140838629327 281677258654 550551005551 1101102011102 6056061061061 12112122122122