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12323112000 = 263534311941
BaseRepresentation
bin10110111101000001…
…11100010001000000
31011210211002221200120
423132200330101000
5200214204041000
65354451020240
7614243503143
oct133640742100
934724087616
1012323112000
115254091491
12247ab9a680
131215095364
1484c8ca05a
154c1ce76a0
hex2de83c440

12323112000 has 224 divisors, whose sum is σ = 41640703104. Its totient is φ = 3209472000.

The previous prime is 12323111993. The next prime is 12323112047. The reversal of 12323112000 is 21132321.

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 31 ways as a sum of consecutive naturals, for example, 1026030 + ... + 1037970.

It is an arithmetic number, because the mean of its divisors is an integer number (185895996).

Almost surely, 212323112000 is an apocalyptic number.

12323112000 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 12323112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820351552).

12323112000 is an abundant number, since it is smaller than the sum of its proper divisors (29317591104).

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

12323112000 is a wasteful number, since it uses less digits than its factorization.

12323112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12014 (or 11994 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12323112000 its reverse (21132321), we get a palindrome (12344244321).

The spelling of 12323112000 in words is "twelve billion, three hundred twenty-three million, one hundred twelve thousand".