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12302121000 = 23353131512089
BaseRepresentation
bin10110111010100001…
…10111100000101000
31011202100121111110010
423131100313200220
5200143320333000
65352421051520
7613600205661
oct133520674050
934670544403
1012302121000
115243254654
122473b56ba0
131210925b50
14849bc4368
154c004cd50
hex2dd437828

12302121000 has 256 divisors, whose sum is σ = 41628787200. Its totient is φ = 3006720000.

The previous prime is 12302120993. The next prime is 12302121037. The reversal of 12302121000 is 12120321.

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 63 ways as a sum of consecutive naturals, for example, 5887956 + ... + 5890044.

It is an arithmetic number, because the mean of its divisors is an integer number (162612450).

Almost surely, 212302121000 is an apocalyptic number.

12302121000 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 12302121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20814393600).

12302121000 is an abundant number, since it is smaller than the sum of its proper divisors (29326666200).

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

12302121000 is a wasteful number, since it uses less digits than its factorization.

12302121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2263 counting only the distinct ones).

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

Adding to 12302121000 its reverse (12120321), we get a palindrome (12314241321).

The spelling of 12302121000 in words is "twelve billion, three hundred two million, one hundred twenty-one thousand".