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12112120010112 = 27331541979193
BaseRepresentation
bin1011000001000001001010…
…0111000101010110000000
31120212220111110122202022120
42300100102213011112000
53041421110210310422
641432121531004240
72360033424250323
oct260202247052600
946786443582276
1012112120010112
11394a7a2a8a991
1214374b0599680
1369b225192535
142dc33057a7ba
151600e61d445c
hexb04129c5580

12112120010112 has 32 divisors (see below), whose sum is σ = 32172818777880. Its totient is φ = 4037373336576.

The previous prime is 12112120010093. The next prime is 12112120010131. The reversal of 12112120010112 is 21101002121121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12112120010093) and next prime (12112120010131).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×121121200101122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12112120010091 and 12112120010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15770989213 + ... + 15770989980.

Almost surely, 212112120010112 is an apocalyptic number.

12112120010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12112120010112 is an abundant number, since it is smaller than the sum of its proper divisors (20060698767768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12112120010112 is an equidigital number, since it uses as much as digits as its factorization.

12112120010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31541979210 (or 31541979198 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12112120010112 its reverse (21101002121121), we get a palindrome (33213122131233).

The spelling of 12112120010112 in words is "twelve trillion, one hundred twelve billion, one hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 31541979193 63083958386 94625937579 126167916772 189251875158 252335833544 378503750316 504671667088 757007500632 1009343334176 1514015001264 2018686668352 3028030002528 4037373336704 6056060005056 12112120010112