12142242000 has 480 divisors, whose sum is σ = 50153575680. Its totient is φ = 2678860800.

The previous prime is 12142241999. The next prime is 12142242017. The reversal of 12142242000 is 24224121.

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 95 ways as a sum of consecutive naturals, for example, 3652339 + ... + 3655661.

It is an arithmetic number, because the mean of its divisors is an integer number (104486616).

Almost surely, 2^12142242000 is an apocalyptic number.

12142242000 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 12142242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25076787840).

12142242000 is an abundant number, since it is smaller than the sum of its proper divisors (38011333680).

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

12142242000 is a wasteful number, since it uses less digits than its factorization.

12142242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12142242000 its reverse (24224121), we get a palindrome (12166466121).

The spelling of 12142242000 in words is "twelve billion, one hundred forty-two million, two hundred forty-two thousand".