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12322221000 = 2335331373581
BaseRepresentation
bin10110111100111011…
…00010101111001000
31011210202102200110120
423132131202233020
5200213442033000
65354415543240
7614233102365
oct133635425710
934722380416
1012322221000
115253633021
12247a82ab20
131214b4293b
1484c73746c
154c1bbd6a0
hex2de762bc8

12322221000 has 256 divisors, whose sum is σ = 40769464320. Its totient is φ = 3093120000.

The previous prime is 12322220983. The next prime is 12322221007. The reversal of 12322221000 is 12222321.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12322221007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3439210 + ... + 3442790.

It is an arithmetic number, because the mean of its divisors is an integer number (159255720).

Almost surely, 212322221000 is an apocalyptic number.

12322221000 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 12322221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384732160).

12322221000 is an abundant number, since it is smaller than the sum of its proper divisors (28447243320).

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

12322221000 is a wasteful number, since it uses less digits than its factorization.

12322221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12322221000 its reverse (12222321), we get a palindrome (12334443321).

The spelling of 12322221000 in words is "twelve billion, three hundred twenty-two million, two hundred twenty-one thousand".