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12210210012 = 223711133783331
BaseRepresentation
bin10110101111100100…
…10000010011011100
31011111221122221021110
423113302100103130
5200001303210022
65335335102020
7611403033630
oct132762202334
934457587243
1012210210012
1151a6388560
122449211910
1311c7885150
1483b8dadc0
154b6e4500c
hex2d7c904dc

12210210012 has 384 divisors, whose sum is σ = 39880286208. Its totient is φ = 2805580800.

The previous prime is 12210210011. The next prime is 12210210017. The reversal of 12210210012 is 21001201221.

12210210012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12210210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210210011) 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, 36888687 + ... + 36889017.

It is an arithmetic number, because the mean of its divisors is an integer number (103854912).

Almost surely, 212210210012 is an apocalyptic number.

12210210012 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 12210210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19940143104).

12210210012 is an abundant number, since it is smaller than the sum of its proper divisors (27670076196).

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

12210210012 is a wasteful number, since it uses less digits than its factorization.

12210210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

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

Adding to 12210210012 its reverse (21001201221), we get a palindrome (33211411233).

It can be divided in two parts, 12210 and 210012, that added together give a palindrome (222222).

The spelling of 12210210012 in words is "twelve billion, two hundred ten million, two hundred ten thousand, twelve".