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12303233132000 = 2553173674391123
BaseRepresentation
bin1011001100001001000111…
…0101110010010111100000
31121120011210110201020212012
42303002101311302113200
53103034010140211000
642100005520252052
72406610405056566
oct263022165622740
947504713636765
1012303233132000
113a138543a4018
121468547a71028
136b32612ba745
143076a0291a36
1516507e374735
hexb3091d725e0

12303233132000 has 384 divisors, whose sum is σ = 32196188344320. Its totient is φ = 4604558745600.

The previous prime is 12303233131939. The next prime is 12303233132009. The reversal of 12303233132000 is 23133230321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303233132009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10955683439 + ... + 10955684561.

It is an arithmetic number, because the mean of its divisors is an integer number (83844240480).

Almost surely, 212303233132000 is an apocalyptic number.

12303233132000 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 12303233132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098094172160).

12303233132000 is an abundant number, since it is smaller than the sum of its proper divisors (19892955212320).

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

12303233132000 is a wasteful number, since it uses less digits than its factorization.

12303233132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 12303233132000 its reverse (23133230321), we get a palindrome (12326366362321).

The spelling of 12303233132000 in words is "twelve trillion, three hundred three billion, two hundred thirty-three million, one hundred thirty-two thousand".