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12423420000 = 25325469019
BaseRepresentation
bin10111001000111111…
…00101100001100000
31012001210212010101200
423210133211201200
5200420343420000
65412433001200
7616602220245
oct134437454140
935053763350
1012423420000
1152a5773362
1224a86b3200
13122cab60c4
1485bd5b5cc
154caa0d500
hex2e47e5860

12423420000 has 180 divisors, whose sum is σ = 44147883780. Its totient is φ = 3312864000.

The previous prime is 12423419951. The next prime is 12423420007. The reversal of 12423420000 is 2432421.

12423420000 is a `hidden beast` number, since 1 + 242 + 3 + 420 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12423420007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 145491 + ... + 214509.

It is an arithmetic number, because the mean of its divisors is an integer number (245266021).

Almost surely, 212423420000 is an apocalyptic number.

12423420000 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 12423420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22073941890).

12423420000 is an abundant number, since it is smaller than the sum of its proper divisors (31724463780).

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

12423420000 is an equidigital number, since it uses as much as digits as its factorization.

12423420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69055 (or 69029 counting only the distinct ones).

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

Adding to 12423420000 its reverse (2432421), we get a palindrome (12425852421).

The spelling of 12423420000 in words is "twelve billion, four hundred twenty-three million, four hundred twenty thousand".