142201120 has 96 divisors (see below), whose sum is σ = 351494640. Its totient is φ = 54312960.

The previous prime is 142201117. The next prime is 142201133. The reversal of 142201120 is 21102241.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 71842576 + 70358544 = 8476^2 + 8388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142201120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347476 + ... + 347884.

Almost surely, 2^142201120 is an apocalyptic number.

142201120 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 142201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175747320).

142201120 is an abundant number, since it is smaller than the sum of its proper divisors (209293520).

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

142201120 is a wasteful number, since it uses less digits than its factorization.

142201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 142201120 is about 11924.8111096151. The cubic root of 142201120 is about 521.9565345017.

Adding to 142201120 its reverse (21102241), we get a palindrome (163303361).

The spelling of 142201120 in words is "one hundred forty-two million, two hundred one thousand, one hundred twenty".