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201212000420 = 225127199398077
BaseRepresentation
bin1011101101100100101…
…0110111100010100100
3201020100210212200111212
42323121022313202210
511244040233003140
6232234023250552
720352135532634
oct2733112674244
9636323780455
10201212000420
1178373a24042
1232bb55a9a58
1315c884558a2
149a4b0566c4
155379a80765
hex2ed92b78a4

201212000420 has 48 divisors (see below), whose sum is σ = 428013465600. Its totient is φ = 79449600384.

The previous prime is 201212000417. The next prime is 201212000441. The reversal of 201212000420 is 24000212102.

201212000420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2012120004202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201212000395 and 201212000404.

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, 306422 + ... + 704498.

It is an arithmetic number, because the mean of its divisors is an integer number (8916947200).

Almost surely, 2201212000420 is an apocalyptic number.

201212000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212000420 is an abundant number, since it is smaller than the sum of its proper divisors (226801465180).

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

201212000420 is a wasteful number, since it uses less digits than its factorization.

201212000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398412 (or 398410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201212000420 its reverse (24000212102), we get a palindrome (225212212522).

The spelling of 201212000420 in words is "two hundred one billion, two hundred twelve million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 127 199 254 398 508 635 796 995 1270 1990 2540 3980 25273 50546 101092 126365 252730 398077 505460 796154 1592308 1990385 3980770 7961540 50555779 79217323 101111558 158434646 202223116 252778895 316869292 396086615 505557790 792173230 1011115580 1584346460 10060600021 20121200042 40242400084 50303000105 100606000210 201212000420