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12000100 = 2252723179
BaseRepresentation
bin101101110001…
…101101100100
3211120200001011
4231301231210
511033000400
61105112004
7203666500
oct55615544
924520034
1012000100
116856942
124028604
132642068
141845300
1510c08ba
hexb71b64

12000100 has 108 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 3931200.

The previous prime is 12000097. The next prime is 12000127. The reversal of 12000100 is 100021.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 12000100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151861 + ... + 151939.

Almost surely, 212000100 is an apocalyptic number.

12000100 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 12000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).

12000100 is an abundant number, since it is smaller than the sum of its proper divisors (19664540).

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

12000100 is a wasteful number, since it uses less digits than its factorization.

12000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 12000100 is about 3464.1160488644. The cubic root of 12000100 is about 228.9434844613.

Adding to 12000100 its reverse (100021), we get a palindrome (12100121).

It can be divided in two parts, 12000 and 100, that added together give a square (12100 = 1102).

The spelling of 12000100 in words is "twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 49 50 62 70 79 98 100 124 140 155 158 175 196 217 245 310 316 350 395 434 490 553 620 700 775 790 868 980 1085 1106 1225 1519 1550 1580 1975 2170 2212 2449 2450 2765 3038 3100 3871 3950 4340 4898 4900 5425 5530 6076 7595 7742 7900 9796 10850 11060 12245 13825 15190 15484 17143 19355 21700 24490 27650 30380 34286 37975 38710 48980 55300 61225 68572 75950 77420 85715 96775 120001 122450 151900 171430 193550 240002 244900 342860 387100 428575 480004 600005 857150 1200010 1714300 2400020 3000025 6000050 12000100