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20121210012 = 22329347166627
BaseRepresentation
bin10010101111010100…
…010100110010011100
31220221021121101010110
4102233110110302130
5312202012210022
613124335210020
71311423314601
oct225724246234
956837541113
1020121210012
118595997992
123a96676910
131b88836537
14d8c4386a8
157cb71000c
hex4af514c9c

20121210012 has 48 divisors (see below), whose sum is σ = 48708696960. Its totient is φ = 6457090752.

The previous prime is 20121209993. The next prime is 20121210017. The reversal of 20121210012 is 21001212102.

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 20121210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121210017) 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 15 ways as a sum of consecutive naturals, for example, 37443 + ... + 204069.

It is an arithmetic number, because the mean of its divisors is an integer number (1014764520).

Almost surely, 220121210012 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 20121210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24354348480).

20121210012 is an abundant number, since it is smaller than the sum of its proper divisors (28587486948).

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

20121210012 is a wasteful number, since it uses less digits than its factorization.

20121210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167010 (or 167008 counting only the distinct ones).

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

Adding to 20121210012 its reverse (21001212102), we get a palindrome (41122422114).

The spelling of 20121210012 in words is "twenty billion, one hundred twenty-one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 347 348 694 1041 1388 2082 4164 10063 20126 30189 40252 60378 120756 166627 333254 499881 666508 999762 1999524 4832183 9664366 14496549 19328732 28993098 57819569 57986196 115639138 173458707 231278276 346917414 693834828 1676767501 3353535002 5030302503 6707070004 10060605006 20121210012