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12121201100 = 2252389463673
BaseRepresentation
bin10110100100111101…
…01101100111001100
31011021202011211000002
423102132231213030
5144311011413400
65322435223432
7606242336501
oct132236554714
934252154002
1012121201100
115160113878
122423447b78
1311b22bc358
1482db6b4a8
154ae211ed5
hex2d27ad9cc

12121201100 has 72 divisors (see below), whose sum is σ = 26466847680. Its totient is φ = 4818401280.

The previous prime is 12121201087. The next prime is 12121201109. The reversal of 12121201100 is 110212121.

It is a super-2 number, since 2×121212011002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12121201109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18010364 + ... + 18011036.

Almost surely, 212121201100 is an apocalyptic number.

12121201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121201100 is an abundant number, since it is smaller than the sum of its proper divisors (14345646580).

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

12121201100 is a wasteful number, since it uses less digits than its factorization.

12121201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12121201100 its reverse (110212121), we get a palindrome (12231413221).

The spelling of 12121201100 in words is "twelve billion, one hundred twenty-one million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 389 463 673 778 926 1346 1556 1852 1945 2315 2692 3365 3890 4630 6730 7780 9260 9725 11575 13460 16825 19450 23150 33650 38900 46300 67300 180107 261797 311599 360214 523594 623198 720428 900535 1047188 1246396 1308985 1557995 1801070 2617970 3115990 3602140 4502675 5235940 6231980 6544925 7789975 9005350 13089850 15579950 18010700 26179700 31159900 121212011 242424022 484848044 606060055 1212120110 2424240220 3030300275 6060600550 12121201100