Search a number
-
+
12112002121212 = 223377110313915761
BaseRepresentation
bin1011000001000000101110…
…0101010111110111111100
31120212220012020211101011000
42300100023211113313330
53041420340020334322
641432102120130300
72360030463231030
oct260201345276774
946786166741130
1012112002121212
11394a742490244
121437479006990
1369b2069274a6
142dc31ca501c0
151600dab993ac
hexb040b957dfc

12112002121212 has 384 divisors, whose sum is σ = 37012908441600. Its totient is φ = 3354186931200.

The previous prime is 12112002121189. The next prime is 12112002121231. The reversal of 12112002121212 is 21212120021121.

12112002121212 is a `hidden beast` number, since 1 + 211 + 200 + 21 + 21 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 in 127 ways as a sum of consecutive naturals, for example, 768471412 + ... + 768487172.

It is an arithmetic number, because the mean of its divisors is an integer number (96387782400).

Almost surely, 212112002121212 is an apocalyptic number.

12112002121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112002121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506454220800).

12112002121212 is an abundant number, since it is smaller than the sum of its proper divisors (24900906320388).

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

12112002121212 is a wasteful number, since it uses less digits than its factorization.

12112002121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16094 (or 16086 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12112002121212 its reverse (21212120021121), we get a palindrome (33324122142333).

The spelling of 12112002121212 in words is "twelve trillion, one hundred twelve billion, two million, one hundred twenty-one thousand, two hundred twelve".