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12210201000 = 2332531356689
BaseRepresentation
bin10110101111100100…
…01110000110101000
31011111221122110220200
423113302032012220
5200001302413000
65335334552200
7611402665434
oct132762160650
934457573820
1012210201000
1151a6381808
122449208660
1311c788100a
1483b8d79c4
154b6e42500
hex2d7c8e1a8

12210201000 has 96 divisors (see below), whose sum is σ = 41270509800. Its totient is φ = 3256051200.

The previous prime is 12210200993. The next prime is 12210201001. The reversal of 12210201000 is 10201221.

12210201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4240353924 + 7969847076 = 65118^2 + 89274^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12210201001) 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 23 ways as a sum of consecutive naturals, for example, 669345 + ... + 687344.

Almost surely, 212210201000 is an apocalyptic number.

12210201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210201000 is an abundant number, since it is smaller than the sum of its proper divisors (29060308800).

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

12210201000 is a wasteful number, since it uses less digits than its factorization.

12210201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356716 (or 1356699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12210201000 its reverse (10201221), we get a palindrome (12220402221).

The spelling of 12210201000 in words is "twelve billion, two hundred ten million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 1356689 2713378 4070067 5426756 6783445 8140134 10853512 12210201 13566890 16280268 20350335 24420402 27133780 32560536 33917225 40700670 48840804 54267560 61051005 67834450 81401340 97681608 101751675 122102010 135668900 162802680 169586125 203503350 244204020 271337800 305255025 339172250 407006700 488408040 508758375 610510050 678344500 814013400 1017516750 1221020100 1356689000 1526275125 2035033500 2442040200 3052550250 4070067000 6105100500 12210201000