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12042342000 = 2432531353971
BaseRepresentation
bin10110011011100011…
…11000111001110000
31011002020210100122200
423031301320321300
5144130314421000
65310541103200
7604264134543
oct131561707160
934066710580
1012042342000
11511a651867
122400b57b00
13119bb6b370
148234c085a
154a7336500
hex2cdc78e70

12042342000 has 480 divisors, whose sum is σ = 46197418176. Its totient is φ = 2905344000.

The previous prime is 12042341953. The next prime is 12042342049. The reversal of 12042342000 is 24324021.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12401515 + ... + 12402485.

Almost surely, 212042342000 is an apocalyptic number.

12042342000 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 12042342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098709088).

12042342000 is an abundant number, since it is smaller than the sum of its proper divisors (34155076176).

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

12042342000 is a wasteful number, since it uses less digits than its factorization.

12042342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12042342000 its reverse (24324021), we get a palindrome (12066666021).

The spelling of 12042342000 in words is "twelve billion, forty-two million, three hundred forty-two thousand".