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12122021016 = 23327223316179
BaseRepresentation
bin10110100101000011…
…10101110010011000
31011021210201110201100
423102201311302120
5144311214133031
65322504551400
7606252323100
oct132241656230
934253643640
1012122021016
115160623896
122423782560
1311b2518601
1482dd02200
154ae324de6
hex2d2875c98

12122021016 has 576 divisors, whose sum is σ = 42340147200. Its totient is φ = 3113510400.

The previous prime is 12122020961. The next prime is 12122021017. The reversal of 12122021016 is 61012022121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12122021016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122021017) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153443265 + ... + 153443343.

It is an arithmetic number, because the mean of its divisors is an integer number (73507200).

Almost surely, 212122021016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122021016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170073600).

12122021016 is an abundant number, since it is smaller than the sum of its proper divisors (30218126184).

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

12122021016 is a wasteful number, since it uses less digits than its factorization.

12122021016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12122021016 its reverse (61012022121), we get a palindrome (73134043137).

The spelling of 12122021016 in words is "twelve billion, one hundred twenty-two million, twenty-one thousand, sixteen".