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20120001012 = 22324114599343
BaseRepresentation
bin10010101111001111…
…101101100111110100
31220221012022221200200
4102233033231213310
5312201210013022
613124253240500
71311410121036
oct225717554764
956835287620
1020120001012
118595241611
123a96193130
131b88502157
14d8c201c56
157cb571bac
hex4af3ed9f4

20120001012 has 72 divisors (see below), whose sum is σ = 52140641280. Its totient is φ = 6537905280.

The previous prime is 20120001001. The next prime is 20120001049. The reversal of 20120001012 is 21010002102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20120000985 and 20120001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2148813 + ... + 2158155.

Almost surely, 220120001012 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 20120001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26070320640).

20120001012 is an abundant number, since it is smaller than the sum of its proper divisors (32020640268).

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

20120001012 is a wasteful number, since it uses less digits than its factorization.

20120001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10853 (or 10848 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20120001012 its reverse (21010002102), we get a palindrome (41130003114).

The spelling of 20120001012 in words is "twenty billion, one hundred twenty million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1459 1476 2918 4377 5836 8754 9343 13131 17508 18686 26262 28029 37372 52524 56058 59819 84087 112116 119638 168174 179457 239276 336348 358914 383063 538371 717828 766126 1076742 1149189 1532252 2153484 2298378 3447567 4596756 6895134 13631437 13790268 27262874 40894311 54525748 81788622 122682933 163577244 245365866 490731732 558888917 1117777834 1676666751 2235555668 3353333502 5030000253 6706667004 10060000506 20120001012