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212221000012 = 22717773576769
BaseRepresentation
bin1100010110100101011…
…0110111100101001100
3202021210001020210212111
43011221112313211030
511434112034000022
6241254252313404
721222014510440
oct3055126674514
9667701223774
10212221000012
118200324940a
1235168472864
13170211b1628
14a3b31ca820
1557c12eb477
hex31695b794c

212221000012 has 48 divisors (see below), whose sum is σ = 449991339840. Its totient is φ = 85490860032.

The previous prime is 212220999997. The next prime is 212221000031. The reversal of 212221000012 is 210000122212.

It is a happy number.

212221000012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212220999956 and 212221000001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79564 + ... + 656332.

It is an arithmetic number, because the mean of its divisors is an integer number (9374819580).

Almost surely, 2212221000012 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 212221000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224995669920).

212221000012 is an abundant number, since it is smaller than the sum of its proper divisors (237770339828).

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

212221000012 is a wasteful number, since it uses less digits than its factorization.

212221000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577570 (or 577568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212221000012 its reverse (210000122212), we get a palindrome (422221122224).

The spelling of 212221000012 in words is "two hundred twelve billion, two hundred twenty-one million, twelve", and thus it is an aban number.

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 773 1546 3092 5411 10822 13141 21644 26282 52564 91987 183974 367948 576769 1153538 2307076 4037383 8074766 9805073 16149532 19610146 39220292 68635511 137271022 274542044 445842437 891684874 1783369748 3120897059 6241794118 7579321429 12483588236 15158642858 30317285716 53055250003 106110500006 212221000012