142241114242200 has 384 divisors, whose sum is σ = 485126532057600. Its totient is φ = 34316112568320.

The previous prime is 142241114242187. The next prime is 142241114242229. The reversal of 142241114242200 is 2242411142241.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 160286112 + ... + 161171088.

It is an arithmetic number, because the mean of its divisors is an integer number (1263350343900).

Almost surely, 2^{142241114242200} is an apocalyptic number.

142241114242200 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 142241114242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242563266028800).

142241114242200 is an abundant number, since it is smaller than the sum of its proper divisors (342885417815400).

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

142241114242200 is a wasteful number, since it uses less digits than its factorization.

142241114242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885651 (or 885642 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 142241114242200 its reverse (2242411142241), we get a palindrome (144483525384441).

The spelling of 142241114242200 in words is "one hundred forty-two trillion, two hundred forty-one billion, one hundred fourteen million, two hundred forty-two thousand, two hundred".