120214043211040 has 96 divisors (see below), whose sum is σ = 285319561590000. Its totient is φ = 47863269163008.

The previous prime is 120214043211023. The next prime is 120214043211077. The reversal of 120214043211040 is 40112340412021.

120214043211040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 68497406531856 + 51716636679184 = 8276316^2 + 7191428^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120214043210996 and 120214043211014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142071136 + ... + 142914784.

Almost surely, 2^{120214043211040} is an apocalyptic number.

120214043211040 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 120214043211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142659780795000).

120214043211040 is an abundant number, since it is smaller than the sum of its proper divisors (165105518378960).

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

120214043211040 is a wasteful number, since it uses less digits than its factorization.

120214043211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847782 (or 847774 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 120214043211040 its reverse (40112340412021), we get a palindrome (160326383623061).

The spelling of 120214043211040 in words is "one hundred twenty trillion, two hundred fourteen billion, forty-three million, two hundred eleven thousand, forty".