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12211122000 = 2435371126431
BaseRepresentation
bin10110101111101011…
…01110111101010000
31011112000101021021210
423113311232331100
5200002021401000
65335410420120
7611413552530
oct132765567520
934460337253
1012211122000
1151a6950770
122449591640
1311c7b1429c
1483ba974c0
154b7075350
hex2d7d6ef50

12211122000 has 320 divisors, whose sum is σ = 49084858368. Its totient is φ = 2537280000.

The previous prime is 12211121999. The next prime is 12211122013. The reversal of 12211122000 is 22111221.

It is a super-2 number, since 2×122111220002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448785 + ... + 475215.

Almost surely, 212211122000 is an apocalyptic number.

12211122000 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 12211122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24542429184).

12211122000 is an abundant number, since it is smaller than the sum of its proper divisors (36873736368).

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

12211122000 is a wasteful number, since it uses less digits than its factorization.

12211122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26475 (or 26459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12211122000 its reverse (22111221), we get a palindrome (12233233221).

The spelling of 12211122000 in words is "twelve billion, two hundred eleven million, one hundred twenty-two thousand".