142010122240 has 480 divisors, whose sum is σ = 419626241010. Its totient is φ = 46126596096.

The previous prime is 142010122237. The next prime is 142010122271. The reversal of 142010122240 is 42221010241.

It can be written as a sum of positive squares in only one way, i.e., 127809110016 + 14201012224 = 357504^2 + 119168^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7474216951 + ... + 7474216969.

Almost surely, 2^142010122240 is an apocalyptic number.

142010122240 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 142010122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209813120505).

142010122240 is an abundant number, since it is smaller than the sum of its proper divisors (277616118770).

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

142010122240 is an frugal number, since it uses more digits than its factorization.

142010122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 142010122240 its reverse (42221010241), we get a palindrome (184231132481).

The spelling of 142010122240 in words is "one hundred forty-two billion, ten million, one hundred twenty-two thousand, two hundred forty".