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12121020200 = 235213723229
BaseRepresentation
bin10110100100111100…
…00001011100101000
31011021201211121212002
423102132001130220
5144310440121300
65322431310132
7606240654212
oct132236013450
934251747762
1012121020200
11515aaaa973
12242337b348
1311b2257c03
1482db215b2
154ae1c85d5
hex2d2781728

12121020200 has 72 divisors (see below), whose sum is σ = 28397368650. Its totient is φ = 4811527680.

The previous prime is 12121020169. The next prime is 12121020251. The reversal of 12121020200 is 202012121.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 663886756 + 11457133444 = 25766^2 + 107038^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3752186 + ... + 3755414.

Almost surely, 212121020200 is an apocalyptic number.

12121020200 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 12121020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14198684325).

12121020200 is an abundant number, since it is smaller than the sum of its proper divisors (16276348450).

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

12121020200 is a wasteful number, since it uses less digits than its factorization.

12121020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3373 counting only the distinct ones).

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

Adding to 12121020200 its reverse (202012121), we get a palindrome (12323032321).

The spelling of 12121020200 in words is "twelve billion, one hundred twenty-one million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 685 1096 1370 2740 3229 3425 5480 6458 6850 12916 13700 16145 18769 25832 27400 32290 37538 64580 75076 80725 93845 129160 150152 161450 187690 322900 375380 442373 469225 645800 750760 884746 938450 1769492 1876900 2211865 3538984 3753800 4423730 8847460 11059325 17694920 22118650 44237300 60605101 88474600 121210202 242420404 303025505 484840808 606051010 1212102020 1515127525 2424204040 3030255050 6060510100 12121020200