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1212210021200 = 245210212968193
BaseRepresentation
bin10001101000111101010…
…110010000001101010000
311021212221000000110020212
4101220331112100031100
5124330101231134300
62324514231423252
7153402460112333
oct21507526201520
94255830013225
101212210021200
11428105a55802
12176b26824b28
138a407104c19
1442957db661a
15217ebae4935
hex11a3d590350

1212210021200 has 60 divisors (see below), whose sum is σ = 2915187991548. Its totient is φ = 484408934400.

The previous prime is 1212210021199. The next prime is 1212210021203. The reversal of 1212210021200 is 21200122121.

It can be written as a sum of positive squares in 6 ways, for example, as 38766459664 + 1173443561536 = 196892^2 + 1083256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212210021203) by changing a digit.

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, 1075697 + ... + 1892496.

Almost surely, 21212210021200 is an apocalyptic number.

1212210021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212210021200 is an abundant number, since it is smaller than the sum of its proper divisors (1702977970348).

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

1212210021200 is a wasteful number, since it uses less digits than its factorization.

1212210021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969232 (or 2969221 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1212210021200 its reverse (21200122121), we get a palindrome (1233410143321).

The spelling of 1212210021200 in words is "one trillion, two hundred twelve billion, two hundred ten million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1021 2042 4084 5105 8168 10210 16336 20420 25525 40840 51050 81680 102100 204200 408400 2968193 5936386 11872772 14840965 23745544 29681930 47491088 59363860 74204825 118727720 148409650 237455440 296819300 593638600 1187277200 3030525053 6061050106 12122100212 15152625265 24244200424 30305250530 48488400848 60610501060 75763126325 121221002120 151526252650 242442004240 303052505300 606105010600 1212210021200