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20210212200012 = 22319433163651731
BaseRepresentation
bin1001001100001100011101…
…00001001101111001001100
32122120002002102210200222020
410212012032201031321030
510122111003310400022
6110552235431050140
74154065620156522
oct446061641157114
978502072720866
1020210212200012
1164921149a925a
122324a5b210950
13b37a792596c3
144dc27273c312
15250aa9b3235c
hex12618e84de4c

20210212200012 has 96 divisors (see below), whose sum is σ = 50809652382720. Its totient is φ = 6231769266240.

The previous prime is 20210212199999. The next prime is 20210212200037. The reversal of 20210212200012 is 21000221201202.

It is a junction number, because it is equal to n+sod(n) for n = 20210212199964 and 20210212200000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30684187 + ... + 31335917.

It is an arithmetic number, because the mean of its divisors is an integer number (529267212320).

Almost surely, 220210212200012 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 20210212200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25404826191360).

20210212200012 is an abundant number, since it is smaller than the sum of its proper divisors (30599440182708).

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

20210212200012 is a wasteful number, since it uses less digits than its factorization.

20210212200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654963 (or 654961 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20210212200012 its reverse (21000221201202), we get a palindrome (41210433401214).

The spelling of 20210212200012 in words is "twenty trillion, two hundred ten billion, two hundred twelve million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 516 817 1634 2451 3163 3268 4902 6326 9489 9804 12652 18978 37956 60097 120194 136009 180291 240388 272018 360582 408027 544036 651731 721164 816054 1303462 1632108 1955193 2584171 2606924 3910386 5168342 7752513 7820772 10336684 12382889 15505026 24765778 28024433 31010052 37148667 49531556 56048866 74297334 84073299 112097732 148594668 168146598 336293196 532464227 1064928454 1597392681 2061425153 2129856908 3194785362 4122850306 6184275459 6389570724 8245700612 12368550918 24737101836 39167077907 78334155814 88641281579 117501233721 156668311628 177282563158 235002467442 265923844737 354565126316 470004934884 531847689474 1063695378948 1684184350001 3368368700002 5052553050003 6736737400004 10105106100006 20210212200012