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12100210122 = 237111317373203
BaseRepresentation
bin10110100010011101…
…01000110111001010
31011020021200100210110
423101032220313022
5144240123210442
65320405255150
7605566042350
oct132116506712
934207610713
1012100210122
11514a286a60
1224184044b6
1311aab4cb60
1482b0657d0
154ac46769c
hex2d13a8dca

12100210122 has 256 divisors, whose sum is σ = 35345092608. Its totient is φ = 2655866880.

The previous prime is 12100210099. The next prime is 12100210123. The reversal of 12100210122 is 22101200121.

12100210122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12100210098 and 12100210107.

It is not an unprimeable number, because it can be changed into a prime (12100210123) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3776173 + ... + 3779375.

It is an arithmetic number, because the mean of its divisors is an integer number (138066768).

Almost surely, 212100210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17672546304).

12100210122 is an abundant number, since it is smaller than the sum of its proper divisors (23244882486).

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

12100210122 is a wasteful number, since it uses less digits than its factorization.

12100210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12100210122 its reverse (22101200121), we get a palindrome (34201410243).

It can be divided in two parts, 12100 and 210122, that added together give a palindrome (222222).

The spelling of 12100210122 in words is "twelve billion, one hundred million, two hundred ten thousand, one hundred twenty-two".