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12112102220020 = 22511891553398323
BaseRepresentation
bin1011000001000001000110…
…0011001110000011110100
31120212220110020011220220021
42300100101203032003310
53041421041132020040
641432120053414524
72360033120114215
oct260202143160364
946786406156807
1012112102220020
11394a793a39a30
1214374a663a444
1369b2215a3c5a
142dc32c06940c
151600e486d24a
hexb04118ce0f4

12112102220020 has 96 divisors (see below), whose sum is σ = 28077635698560. Its totient is φ = 4352098037760.

The previous prime is 12112102219993. The next prime is 12112102220039. The reversal of 12112102220020 is 2002220121121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12112102219976 and 12112102220003.

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 31 ways as a sum of consecutive naturals, for example, 30208579 + ... + 30606901.

It is an arithmetic number, because the mean of its divisors is an integer number (292475371860).

Almost surely, 212112102220020 is an apocalyptic number.

12112102220020 is a gapful number since it is divisible by the number (10) 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 12112102220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14038817849280).

12112102220020 is an abundant number, since it is smaller than the sum of its proper divisors (15965533478540).

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

12112102220020 is a wasteful number, since it uses less digits than its factorization.

12112102220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399985 (or 399983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12112102220020 its reverse (2002220121121), we get a palindrome (14114322341141).

The spelling of 12112102220020 in words is "twelve trillion, one hundred twelve billion, one hundred two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1553 1780 1958 3106 3916 4895 6212 7765 9790 15530 17083 19580 31060 34166 68332 85415 138217 170830 276434 341660 398323 552868 691085 796646 1382170 1520387 1593292 1991615 2764340 3040774 3983230 4381553 6081548 7601935 7966460 8763106 15203870 17526212 21907765 30407740 35450747 43815530 70901494 87631060 141802988 177253735 354507470 389958217 618595619 709014940 779916434 1237191238 1559832868 1949791085 2474382476 3092978095 3899582170 6185956190 6804551809 7799164340 12371912380 13609103618 27218207236 34022759045 55055010091 68045518090 110110020182 136091036180 220220040364 275275050455 550550100910 605605111001 1101100201820 1211210222002 2422420444004 3028025555005 6056051110010 12112102220020