Search a number
-
+
121212010000 = 245468317747
BaseRepresentation
bin111000011100011001…
…1000111111000010000
3102120212110210002122201
41300320303013320100
53441220233310000
6131403430012544
711520514041154
oct1607063077020
9376773702581
10121212010000
1147451024184
121b5a97a7154
13b579325253
145c1c2c1064
1532465b496a
hex1c38cc7e10

121212010000 has 100 divisors (see below), whose sum is σ = 293912630352. Its totient is φ = 48411088000.

The previous prime is 121212009977. The next prime is 121212010013. The reversal of 121212010000 is 10212121.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6821127 + ... + 6838873.

Almost surely, 2121212010000 is an apocalyptic number.

121212010000 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 121212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146956315176).

121212010000 is an abundant number, since it is smaller than the sum of its proper divisors (172700620352).

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

121212010000 is an equidigital number, since it uses as much as digits as its factorization.

121212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18458 (or 18437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121212010000 its reverse (10212121), we get a palindrome (121222222121).

The spelling of 121212010000 in words is "one hundred twenty-one billion, two hundred twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 683 1000 1250 1366 2000 2500 2732 3415 5000 5464 6830 10000 10928 13660 17075 17747 27320 34150 35494 54640 68300 70988 85375 88735 136600 141976 170750 177470 273200 283952 341500 354940 426875 443675 683000 709880 853750 887350 1366000 1419760 1707500 1774700 2218375 3415000 3549400 4436750 6830000 7098800 8873500 11091875 12121201 17747000 22183750 24242402 35494000 44367500 48484804 60606005 88735000 96969608 121212010 177470000 193939216 242424020 303030025 484848040 606060050 969696080 1212120100 1515150125 2424240200 3030300250 4848480400 6060600500 7575750625 12121201000 15151501250 24242402000 30303002500 60606005000 121212010000