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12001209000 = 2335311379829
BaseRepresentation
bin10110010110101001…
…11110101010101000
31010222101101120210020
423023110332222220
5144034302142000
65302511320440
7603254410344
oct131324765250
933871346706
1012001209000
1150a9407a50
1223ab220120
131193498c01
1481bc54624
154a390dba0
hex2cb53eaa8

12001209000 has 256 divisors, whose sum is σ = 41956012800. Its totient is φ = 2830464000.

The previous prime is 12001208959. The next prime is 12001209013. The reversal of 12001209000 is 90210021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1216086 + ... + 1225914.

It is an arithmetic number, because the mean of its divisors is an integer number (163890675).

Almost surely, 212001209000 is an apocalyptic number.

12001209000 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 12001209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20978006400).

12001209000 is an abundant number, since it is smaller than the sum of its proper divisors (29954803800).

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

12001209000 is a wasteful number, since it uses less digits than its factorization.

12001209000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9901 (or 9887 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12001209000 its reverse (90210021), we get a palindrome (12091419021).

The spelling of 12001209000 in words is "twelve billion, one million, two hundred nine thousand".