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12033321300 = 2232527111319237
BaseRepresentation
bin10110011010011110…
…11110100101010100
31011001121211001120200
423031033132211110
5144121012240200
65310015500500
7604124354250
oct131517364524
934047731520
1012033321300
115115550440
1223b9b27730
13119a030480
14822213260
154a6653800
hex2cd3de954

12033321300 has 1296 divisors, whose sum is σ = 54892236672. Its totient is φ = 2127513600.

The previous prime is 12033321271. The next prime is 12033321353. The reversal of 12033321300 is 312333021.

Added to its reverse (312333021) it gives a square (12345654321 = 1111112).

12033321300 is a `hidden beast` number, since 1 + 203 + 332 + 130 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 325224882 + ... + 325224918.

Almost surely, 212033321300 is an apocalyptic number.

12033321300 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 12033321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27446118336).

12033321300 is an abundant number, since it is smaller than the sum of its proper divisors (42858915372).

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

12033321300 is a wasteful number, since it uses less digits than its factorization.

12033321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12033321300 its reverse (312333021), we get a palindrome (12345654321).

It can be divided in two parts, 12033 and 321300, that added together give a palindrome (333333).

The spelling of 12033321300 in words is "twelve billion, thirty-three million, three hundred twenty-one thousand, three hundred".