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12221130000 = 243541731773
BaseRepresentation
bin10110110000110111…
…11010010100010000
31011112201012201200110
423120123322110100
5200012102130000
65340405121320
7611564614422
oct133033722420
934481181613
1012221130000
115201566942
1224509b9240
1311c9c09691
1483d140812
154b7da0850
hex2d86fa510

12221130000 has 400 divisors, whose sum is σ = 43175379456. Its totient is φ = 2964480000.

The previous prime is 12221129959. The next prime is 12221130013. The reversal of 12221130000 is 3112221.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15809614 + ... + 15810386.

Almost surely, 212221130000 is an apocalyptic number.

12221130000 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 12221130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587689728).

12221130000 is an abundant number, since it is smaller than the sum of its proper divisors (30954249456).

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

12221130000 is a wasteful number, since it uses less digits than its factorization.

12221130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12221130000 its reverse (3112221), we get a palindrome (12224242221).

The spelling of 12221130000 in words is "twelve billion, two hundred twenty-one million, one hundred thirty thousand".