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12211201000 = 235317968219
BaseRepresentation
bin10110101111101100…
…00010001111101000
31011112000112021122201
423113312002033220
5200002031413000
65335412225544
7611414332045
oct132766021750
934460467581
1012211201000
1151a69a5059
12244960b2b4
1311c7b4122b
1483bab81cc
154b708d96a
hex2d7d823e8

12211201000 has 64 divisors (see below), whose sum is σ = 28734264000. Its totient is φ = 4857121600.

The previous prime is 12211200973. The next prime is 12211201001. The reversal of 12211201000 is 10211221.

It is a super-2 number, since 2×122112010002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12211201001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144891 + ... + 213109.

It is an arithmetic number, because the mean of its divisors is an integer number (448972875).

Almost surely, 212211201000 is an apocalyptic number.

12211201000 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 12211201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367132000).

12211201000 is an abundant number, since it is smaller than the sum of its proper divisors (16523063000).

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

12211201000 is a wasteful number, since it uses less digits than its factorization.

12211201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68419 (or 68405 counting only the distinct ones).

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

Adding to 12211201000 its reverse (10211221), we get a palindrome (12221412221).

The spelling of 12211201000 in words is "twelve billion, two hundred eleven million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 179 200 250 358 500 716 895 1000 1432 1790 3580 4475 7160 8950 17900 22375 35800 44750 68219 89500 136438 179000 272876 341095 545752 682190 1364380 1705475 2728760 3410950 6821900 8527375 12211201 13643800 17054750 24422402 34109500 48844804 61056005 68219000 97689608 122112010 244224020 305280025 488448040 610560050 1221120100 1526400125 2442240200 3052800250 6105600500 12211201000