142210120 has 96 divisors (see below), whose sum is σ = 351469800. Its totient is φ = 51757056.

The previous prime is 142210097. The next prime is 142210141. The reversal of 142210120 is 21012241.

142210120 = T₂₆₈₁ + T₂₆₈₂ + ... + T₂₇₁₉.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1503076 + 140707044 = 1226^2 + 11862^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 142210120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736744 + ... + 736936.

Almost surely, 2^142210120 is an apocalyptic number.

142210120 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 142210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175734900).

142210120 is an abundant number, since it is smaller than the sum of its proper divisors (209259680).

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

142210120 is a wasteful number, since it uses less digits than its factorization.

142210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

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

The square root of 142210120 is about 11925.1884681124. The cubic root of 142210120 is about 521.9675459239.

Adding to 142210120 its reverse (21012241), we get a palindrome (163222361).

The spelling of 142210120 in words is "one hundred forty-two million, two hundred ten thousand, one hundred twenty".