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1212223020100 = 225223247872
BaseRepresentation
bin10001101000111110000…
…111110101110001000100
311021212221220110212101121
4101220332013311301010
5124330113043120400
62324515414203324
7153403005442111
oct21507607656104
94255856425347
101212223020100
11428112323aa4
12176b2b053544
138a409a06791
14429599db908
15217ecd1121a
hex11a3e1f5c44

1212223020100 has 81 divisors (see below), whose sum is σ = 2750441760157. Its totient is φ = 463710179680.

The previous prime is 1212223020079. The next prime is 1212223020119. The reversal of 1212223020100 is 10203222121.

It is a happy number.

The square root of 1212223020100 is 1101010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 436400287236 + 775822732864 = 660606^2 + 880808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 253229907 + ... + 253234693.

Almost surely, 21212223020100 is an apocalyptic number.

1212223020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1212223020100 is the 1101010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212223020100

1212223020100 is an abundant number, since it is smaller than the sum of its proper divisors (1538218740057).

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

1212223020100 is an frugal number, since it uses more digits than its factorization.

1212223020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9634 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Multiplying 1212223020100 by its sum of digits (16), we get a square (19395568321600 = 44040402).

Adding to 1212223020100 its reverse (10203222121), we get a palindrome (1222426242221).

The spelling of 1212223020100 in words is "one trillion, two hundred twelve billion, two hundred twenty-three million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 1058 1150 2116 2300 2645 4787 5290 9574 10580 13225 19148 23935 26450 47870 52900 95740 110101 119675 220202 239350 440404 478700 550505 1101010 2202020 2532323 2752525 5064646 5505050 10129292 11010100 12661615 22915369 25323230 45830738 50646460 63308075 91661476 114576845 126616150 229153690 253232300 458307380 527053487 572884225 1054106974 1145768450 2108213948 2291536900 2635267435 5270534870 10541069740 12122230201 13176337175 24244460402 26352674350 48488920804 52705348700 60611151005 121222302010 242444604020 303055755025 606111510050 1212223020100