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12120220002 = 2311416766851
BaseRepresentation
bin10110100100110101…
…11110000101100010
31011021200022222012010
423102122332011202
5144310234020002
65322402213350
7606231112242
oct132232760542
934250288163
1012120220002
11515a603750
122423054256
1311b2037917
1482d993b22
154ae0bb46c
hex2d26be162

12120220002 has 64 divisors (see below), whose sum is σ = 27493820928. Its totient is φ = 3529680000.

The previous prime is 12120219997. The next prime is 12120220027. The reversal of 12120220002 is 20002202121.

12120220002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12120220002.

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, 147877 + ... + 214727.

It is an arithmetic number, because the mean of its divisors is an integer number (429590952).

Almost surely, 212120220002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746910464).

12120220002 is an abundant number, since it is smaller than the sum of its proper divisors (15373600926).

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

12120220002 is a wasteful number, since it uses less digits than its factorization.

12120220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66975.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12120220002 its reverse (20002202121), we get a palindrome (32122422123).

The spelling of 12120220002 in words is "twelve billion, one hundred twenty million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 11 22 33 41 66 67 82 123 134 201 246 402 451 737 902 1353 1474 2211 2706 2747 4422 5494 8241 16482 30217 60434 66851 90651 133702 181302 200553 401106 735361 1470722 2206083 2740891 4412166 4479017 5481782 8222673 8958034 13437051 16445346 26874102 30149801 49269187 60299602 90449403 98538374 147807561 180898806 183639697 295615122 367279394 550919091 1101838182 2020036667 4040073334 6060110001 12120220002