120142114200350 has 96 divisors (see below), whose sum is σ = 252571670583840. Its totient is φ = 42116957120000.

The previous prime is 120142114200331. The next prime is 120142114200371. The reversal of 120142114200350 is 53002411241021.

It is a happy number.

It is a super-2 number, since 2×120142114200350² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4647800 + ... + 16182900.

It is an arithmetic number, because the mean of its divisors is an integer number (2630954901915).

Almost surely, 2^{120142114200350} is an apocalyptic number.

120142114200350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120142114200350 is an abundant number, since it is smaller than the sum of its proper divisors (132429556383490).

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

120142114200350 is a wasteful number, since it uses less digits than its factorization.

120142114200350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11535806 (or 11535801 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 120142114200350 its reverse (53002411241021), we get a palindrome (173144525441371).

The spelling of 120142114200350 in words is "one hundred twenty trillion, one hundred forty-two billion, one hundred fourteen million, two hundred thousand, three hundred fifty".