120142400 has 168 divisors, whose sum is σ = 358298496. Its totient is φ = 38707200.

The previous prime is 120142333. The next prime is 120142403. The reversal of 120142400 is 4241021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (120142403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 190085 + ... + 190715.

Almost surely, 2^120142400 is an apocalyptic number.

120142400 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 120142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179149248).

120142400 is an abundant number, since it is smaller than the sum of its proper divisors (238156096).

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

120142400 is a wasteful number, since it uses less digits than its factorization.

120142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 120142400 is about 10960.9488640354. The cubic root of 120142400 is about 493.4374425196.

Adding to 120142400 its reverse (4241021), we get a palindrome (124383421).

The spelling of 120142400 in words is "one hundred twenty million, one hundred forty-two thousand, four hundred".