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12031331200 = 275274312491
BaseRepresentation
bin10110011010001111…
…11000101110000000
31011001111001221200021
423031013320232000
5144120010044300
65305505103224
7604101425230
oct131507705600
934044057607
1012031331200
115114411229
1223b9327b14
1311997b46b5
14821c55cc0
154a63add1a
hex2cd1f8b80

12031331200 has 192 divisors, whose sum is σ = 34759739520. Its totient is φ = 4028774400.

The previous prime is 12031331173. The next prime is 12031331209. The reversal of 12031331200 is 213313021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031331209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956955 + ... + 969445.

It is an arithmetic number, because the mean of its divisors is an integer number (181040310).

Almost surely, 212031331200 is an apocalyptic number.

12031331200 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 12031331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379869760).

12031331200 is an abundant number, since it is smaller than the sum of its proper divisors (22728408320).

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

12031331200 is a wasteful number, since it uses less digits than its factorization.

12031331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12565 (or 12548 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12031331200 its reverse (213313021), we get a palindrome (12244644221).

The spelling of 12031331200 in words is "twelve billion, thirty-one million, three hundred thirty-one thousand, two hundred".