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212012022212120 = 235131505327085327
BaseRepresentation
bin110000001101001011100101…
…010001011010011000011000
31000210200011002100121211000102
4300031023211101122120120
5210242101110141241440
62030524551201154532
762441235360415244
oct6015134521323030
91023604070554012
10212012022212120
116160a880440049
121b94142532ba48
13913b8565bc540
143a4d618163424
151979dbc66bb15
hexc0d2e545a618

212012022212120 has 64 divisors (see below), whose sum is σ = 513755584917120. Its totient is φ = 78276158774784.

The previous prime is 212012022212101. The next prime is 212012022212143. The reversal of 212012022212120 is 21212220210212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212012022212092 and 212012022212101.

It is a congruent number.

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, 5715104 + ... + 21370223.

It is an arithmetic number, because the mean of its divisors is an integer number (8027431014330).

Almost surely, 2212012022212120 is an apocalyptic number.

212012022212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012022212120 is an abundant number, since it is smaller than the sum of its proper divisors (301743562705000).

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

212012022212120 is a wasteful number, since it uses less digits than its factorization.

212012022212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27100404 (or 27100400 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212012022212120 its reverse (21212220210212), we get a palindrome (233224242422332).

The spelling of 212012022212120 in words is "two hundred twelve trillion, twelve billion, twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 15053 30106 60212 75265 120424 150530 195689 301060 391378 602120 782756 978445 1565512 1956890 3913780 7827560 27085327 54170654 108341308 135426635 216682616 270853270 352109251 541706540 704218502 1083413080 1408437004 1760546255 2816874008 3521092510 7042185020 14084370040 407715427331 815430854662 1630861709324 2038577136655 3261723418648 4077154273310 5300300555303 8154308546620 10600601110606 16308617093240 21201202221212 26501502776515 42402404442424 53003005553030 106006011106060 212012022212120