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212100012012 = 223726350319087
BaseRepresentation
bin1100010110001000100…
…1010101011111101100
3202021110121120222112110
43011202021111133230
511433340100341022
6241234251204020
721216015232650
oct3054211253754
9667417528473
10212100012012
1181a50a22329
1235133a46610
13170020ccab5
14a3a10d4a60
1557b589d00c
hex31622557ec

212100012012 has 96 divisors (see below), whose sum is σ = 568909135872. Its totient is φ = 60246409536.

The previous prime is 212100011999. The next prime is 212100012037. The reversal of 212100012012 is 210210001212.

212100012012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11102733 + ... + 11121819.

It is an arithmetic number, because the mean of its divisors is an integer number (5926136832).

Almost surely, 2212100012012 is an apocalyptic number.

It is an amenable number.

212100012012 is an abundant number, since it is smaller than the sum of its proper divisors (356809123860).

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

212100012012 is a wasteful number, since it uses less digits than its factorization.

212100012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19867 (or 19865 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212100012012 its reverse (210210001212), we get a palindrome (422310013224).

The spelling of 212100012012 in words is "two hundred twelve billion, one hundred million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 263 503 526 789 1006 1052 1509 1578 1841 2012 3018 3156 3521 3682 5523 6036 7042 7364 10563 11046 14084 19087 21126 22092 38174 42252 57261 76348 114522 132289 133609 229044 264578 267218 396867 400827 529156 534436 793734 801654 926023 1587468 1603308 1852046 2778069 3704092 5019881 5556138 9600761 10039762 11112276 15059643 19201522 20079524 28802283 30119286 35139167 38403044 57604566 60238572 67205327 70278334 105417501 115209132 134410654 140556668 201615981 210835002 268821308 403231962 421670004 806463924 2525000143 5050000286 7575000429 10100000572 15150000858 17675001001 30300001716 35350002002 53025003003 70700004004 106050006006 212100012012