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20121210020 = 2254124538061
BaseRepresentation
bin10010101111010100…
…010100110010100100
31220221021121101010202
4102233110110302210
5312202012210040
613124335210032
71311423314612
oct225724246244
956837541122
1020121210020
11859599799a
123a96676918
131b88836542
14d8c4386b2
157cb710015
hex4af514ca4

20121210020 has 24 divisors (see below), whose sum is σ = 43285141368. Its totient is φ = 7852179200.

The previous prime is 20121210017. The next prime is 20121210059. The reversal of 20121210020 is 2001212102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1686087844 + 18435122176 = 41062^2 + 135776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20121209983 and 20121210010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12268211 + ... + 12269850.

It is an arithmetic number, because the mean of its divisors is an integer number (1803547557).

Almost surely, 220121210020 is an apocalyptic number.

20121210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121210020 is an abundant number, since it is smaller than the sum of its proper divisors (23163931348).

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

20121210020 is a wasteful number, since it uses less digits than its factorization.

20121210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24538111 (or 24538109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20121210020 its reverse (2001212102), we get a palindrome (22122422122).

The spelling of 20121210020 in words is "twenty billion, one hundred twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 24538061 49076122 98152244 122690305 245380610 490761220 1006060501 2012121002 4024242004 5030302505 10060605010 20121210020