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12003222000 = 2435371125981
BaseRepresentation
bin10110010110111001…
…01010000111110000
31010222112011212002210
423023130222013300
5144040311101000
65303022412120
7603310463220
oct131334520760
933875155083
1012003222000
1150aa562390
1223aba31040
131193a22233
1481c21a080
154a3baa350
hex2cb72a1f0

12003222000 has 320 divisors, whose sum is σ = 48249197568. Its totient is φ = 2494080000.

The previous prime is 12003221987. The next prime is 12003222031. The reversal of 12003222000 is 22230021.

12003222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449010 + ... + 474990.

Almost surely, 212003222000 is an apocalyptic number.

12003222000 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 12003222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24124598784).

12003222000 is an abundant number, since it is smaller than the sum of its proper divisors (36245975568).

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

12003222000 is a wasteful number, since it uses less digits than its factorization.

12003222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26025 (or 26009 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12003222000 its reverse (22230021), we get a palindrome (12025452021).

The spelling of 12003222000 in words is "twelve billion, three million, two hundred twenty-two thousand".