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12322002000 = 24353711149179
BaseRepresentation
bin10110111100111001…
…01101010001010000
31011210202000120001110
423132130231101100
5200213413031000
65354411133320
7614231201040
oct133634552120
934722016043
1012322002000
1152534a3530
12247a744240
131214a97059
1484c6bb720
154c1b78850
hex2de72d450

12322002000 has 640 divisors, whose sum is σ = 50139648000. Its totient is φ = 2529024000.

The previous prime is 12322001987. The next prime is 12322002061. The reversal of 12322002000 is 20022321.

12322002000 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 127 ways as a sum of consecutive naturals, for example, 68837911 + ... + 68838089.

It is an arithmetic number, because the mean of its divisors is an integer number (78343200).

Almost surely, 212322002000 is an apocalyptic number.

12322002000 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 12322002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25069824000).

12322002000 is an abundant number, since it is smaller than the sum of its proper divisors (37817646000).

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

12322002000 is a wasteful number, since it uses less digits than its factorization.

12322002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 356 counting only the distinct ones).

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

Adding to 12322002000 its reverse (20022321), we get a palindrome (12342024321).

The spelling of 12322002000 in words is "twelve billion, three hundred twenty-two million, two thousand".