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12221200000 = 275530553
BaseRepresentation
bin10110110000111000…
…01011011010000000
31011112201100021201001
423120130023122000
5200012111400000
65340410421344
7611565325462
oct133034133200
934481307631
1012221200000
115201604499
122450a31854
1311c9c324b9
1483d15c132
154b7db646a
hex2d870b680

12221200000 has 96 divisors (see below), whose sum is σ = 30432700620. Its totient is φ = 4888320000.

The previous prime is 12221199919. The next prime is 12221200021. The reversal of 12221200000 is 212221.

It can be written as a sum of positive squares in 6 ways, for example, as 3049690176 + 9171509824 = 55224^2 + 95768^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12221200000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384724 + ... + 415276.

Almost surely, 212221200000 is an apocalyptic number.

12221200000 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 12221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15216350310).

12221200000 is an abundant number, since it is smaller than the sum of its proper divisors (18211500620).

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

12221200000 is an frugal number, since it uses more digits than its factorization.

12221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30592 (or 30560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12221200000 its reverse (212221), we get a palindrome (12221412221).

The spelling of 12221200000 in words is "twelve billion, two hundred twenty-one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 30553 40000 50000 61106 80000 100000 122212 152765 200000 244424 305530 400000 488848 611060 763825 977696 1222120 1527650 1955392 2444240 3055300 3819125 3910784 4888480 6110600 7638250 9776960 12221200 15276500 19095625 19553920 24442400 30553000 38191250 48884800 61106000 76382500 95478125 97769600 122212000 152765000 190956250 244424000 305530000 381912500 488848000 611060000 763825000 1222120000 1527650000 2444240000 3055300000 6110600000 12221200000