Search a number
-
+
12012202221100 = 2252974159297757
BaseRepresentation
bin1010111011001100111100…
…0010111101111000101100
31120112100121000201011100021
42232303033002331320230
53033301442232033400
641314155102011524
72346565366124104
oct256631702757054
946470530634307
1012012202221100
113911389aa6154
121420066276ba4
13691990708663
142d75723da204
1515c6e92d871a
hexaeccf0bde2c

12012202221100 has 72 divisors (see below), whose sum is σ = 26341625972480. Its totient is φ = 4754186680320.

The previous prime is 12012202221053. The next prime is 12012202221133. The reversal of 12012202221100 is 112220221021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40193422 + ... + 40491178.

Almost surely, 212012202221100 is an apocalyptic number.

12012202221100 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 12012202221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13170812986240).

12012202221100 is an abundant number, since it is smaller than the sum of its proper divisors (14329423751380).

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

12012202221100 is a wasteful number, since it uses less digits than its factorization.

12012202221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302027 (or 302020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12012202221100 its reverse (112220221021), we get a palindrome (12124422442121).

The spelling of 12012202221100 in words is "twelve trillion, twelve billion, two hundred two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4159 4850 8318 9700 16636 20795 41590 83180 103975 207950 297757 403423 415900 595514 806846 1191028 1488785 1613692 2017115 2977570 4034230 5955140 7443925 8068460 10085575 14887850 20171150 28882429 29775700 40342300 57764858 115529716 144412145 288824290 577648580 722060725 1238371363 1444121450 2476742726 2888242900 4953485452 6191856815 12383713630 24767427260 30959284075 61918568150 120122022211 123837136300 240244044422 480488088844 600610111055 1201220222110 2402440444220 3003050555275 6006101110550 12012202221100