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12276002000 = 24539196679
BaseRepresentation
bin10110110111011010…
…01110110011010000
31011200112110111220202
423123231032303100
5200120124031000
65350045154332
7613132203203
oct133355166320
934615414822
1012276002000
11522a534aa9
12246725b9a8
1312083ac512
1484654593a
154bcadddd5
hex2dbb4ecd0

12276002000 has 80 divisors (see below), whose sum is σ = 29720121600. Its totient is φ = 4904323200.

The previous prime is 12276001999. The next prime is 12276002021. The reversal of 12276002000 is 20067221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1834661 + ... + 1841339.

It is an arithmetic number, because the mean of its divisors is an integer number (371501520).

Almost surely, 212276002000 is an apocalyptic number.

12276002000 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 12276002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14860060800).

12276002000 is an abundant number, since it is smaller than the sum of its proper divisors (17444119600).

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

12276002000 is an equidigital number, since it uses as much as digits as its factorization.

12276002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 12276002000 its reverse (20067221), we get a palindrome (12296069221).

The spelling of 12276002000 in words is "twelve billion, two hundred seventy-six million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 919 1000 1838 2000 3676 4595 6679 7352 9190 13358 14704 18380 22975 26716 33395 36760 45950 53432 66790 73520 91900 106864 114875 133580 166975 183800 229750 267160 333950 367600 459500 534320 667900 834875 919000 1335800 1669750 1838000 2671600 3339500 6138001 6679000 12276002 13358000 24552004 30690005 49104008 61380010 98208016 122760020 153450025 245520040 306900050 491040080 613800100 767250125 1227600200 1534500250 2455200400 3069000500 6138001000 12276002000