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12042300000 = 25355137293
BaseRepresentation
bin10110011011100011…
…01110101001100000
31011002020201020001010
423031301232221200
5144130312100000
65310540140520
7604263601233
oct131561565140
934066636033
1012042300000
11511a623255
122400b37740
13119bb55203
148234ad41a
154a7328d50
hex2cdc6ea60

12042300000 has 288 divisors, whose sum is σ = 39935506464. Its totient is φ = 3176960000.

The previous prime is 12042299987. The next prime is 12042300037. The reversal of 12042300000 is 324021.

12042300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41099854 + ... + 41100146.

It is an arithmetic number, because the mean of its divisors is an integer number (138664953).

Almost surely, 212042300000 is an apocalyptic number.

12042300000 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 12042300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19967753232).

12042300000 is an abundant number, since it is smaller than the sum of its proper divisors (27893206464).

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

12042300000 is an equidigital number, since it uses as much as digits as its factorization.

12042300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12042300000 its reverse (324021), we get a palindrome (12042624021).

The spelling of 12042300000 in words is "twelve billion, forty-two million, three hundred thousand".