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212210001200 = 24521129469907
BaseRepresentation
bin1100010110100010110…
…0111010010100110000
3202021202021120000100002
43011220230322110300
511434101230014300
6241253220445132
721221522151101
oct3055054722460
9667667500302
10212210001200
1181aa801688a
12351648497a8
131701bb30262
14a3b19663a8
1557c03775d5
hex3168b3a530

212210001200 has 60 divisors (see below), whose sum is σ = 510287194440. Its totient is φ = 84808634880.

The previous prime is 212210001197. The next prime is 212210001253. The reversal of 212210001200 is 2100012212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216647 + ... + 686553.

It is an arithmetic number, because the mean of its divisors is an integer number (8504786574).

Almost surely, 2212210001200 is an apocalyptic number.

212210001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210001200 is an abundant number, since it is smaller than the sum of its proper divisors (298077193240).

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

212210001200 is a wasteful number, since it uses less digits than its factorization.

212210001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471054 (or 471043 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212210001200 its reverse (2100012212), we get a palindrome (214310013412).

The spelling of 212210001200 in words is "two hundred twelve billion, two hundred ten million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1129 2258 4516 5645 9032 11290 18064 22580 28225 45160 56450 90320 112900 225800 451600 469907 939814 1879628 2349535 3759256 4699070 7518512 9398140 11747675 18796280 23495350 37592560 46990700 93981400 187962800 530525003 1061050006 2122100012 2652625015 4244200024 5305250030 8488400048 10610500060 13263125075 21221000120 26526250150 42442000240 53052500300 106105000600 212210001200