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1212212000000 = 2856303053
BaseRepresentation
bin10001101000111101011…
…101110011010100000000
311021212221010201222122202
4101220331131303110000
5124330102233000000
62324514342052332
7153402512663411
oct21507535632400
94255833658582
101212212000000
11428107087481
12176b2741a0a8
138a407648801
144295836d808
15217ebd85dd5
hex11a3d773500

1212212000000 has 126 divisors (see below), whose sum is σ = 3024582261414. Its totient is φ = 484883200000.

The previous prime is 1212211999991. The next prime is 1212212000047. The reversal of 1212212000000 is 2122121.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 1139838087424 + 72373912576 = 1067632^2 + 269024^2 .

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 3848474 + ... + 4151526.

Almost surely, 21212212000000 is an apocalyptic number.

1212212000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512291130707).

1212212000000 is an abundant number, since it is smaller than the sum of its proper divisors (1812370261414).

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

1212212000000 is an frugal number, since it uses more digits than its factorization.

1212212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303099 (or 303060 counting only the distinct ones).

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

Adding to 1212212000000 its reverse (2122121), we get a palindrome (1212214122121).

The spelling of 1212212000000 in words is "one trillion, two hundred twelve billion, two hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 303053 400000 500000 606106 800000 1000000 1212212 1515265 2000000 2424424 3030530 4000000 4848848 6061060 7576325 9697696 12122120 15152650 19395392 24244240 30305300 37881625 38790784 48488480 60610600 75763250 77581568 96976960 121221200 151526500 189408125 193953920 242442400 303053000 378816250 387907840 484884800 606106000 757632500 947040625 969769600 1212212000 1515265000 1894081250 1939539200 2424424000 3030530000 3788162500 4735203125 4848848000 6061060000 7576325000 9470406250 9697696000 12122120000 15152650000 18940812500 24244240000 30305300000 37881625000 48488480000 60610600000 75763250000 121221200000 151526500000 242442400000 303053000000 606106000000 1212212000000