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12023032320 = 2932513137293
BaseRepresentation
bin10110011001010000…
…01110101000000000
31011000220110022202100
423030220032220000
5144110344013240
65305011150400
7603641042235
oct131450165000
934026408670
1012023032320
11510a763152
1223b65a5400
131197b6a210
14820ad578c
154a57bee30
hex2cca0ea00

12023032320 has 480 divisors, whose sum is σ = 45323630352. Its totient is φ = 2927886336.

The previous prime is 12023032291. The next prime is 12023032321. The reversal of 12023032320 is 2323032021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6650728704 + 5372303616 = 81552^2 + 73296^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12023032293 and 12023032302.

It is not an unprimeable number, because it can be changed into a prime (12023032321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41034094 + ... + 41034386.

Almost surely, 212023032320 is an apocalyptic number.

12023032320 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 12023032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22661815176).

12023032320 is an abundant number, since it is smaller than the sum of its proper divisors (33300598032).

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

12023032320 is a wasteful number, since it uses less digits than its factorization.

12023032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12023032320 its reverse (2323032021), we get a palindrome (14346064341).

The spelling of 12023032320 in words is "twelve billion, twenty-three million, thirty-two thousand, three hundred twenty".