120214006341 has 64 divisors (see below), whose sum is σ = 190488216576. Its totient is φ = 66475468800.

The previous prime is 120214006337. The next prime is 120214006351. The reversal of 120214006341 is 143600412021.

It is not a de Polignac number, because 120214006341 - 2² = 120214006337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120214006331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48727590 + ... + 48730056.

It is an arithmetic number, because the mean of its divisors is an integer number (2976378384).

Almost surely, 2^120214006341 is an apocalyptic number.

120214006341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120214006341 is a deficient number, since it is larger than the sum of its proper divisors (70274210235).

120214006341 is a wasteful number, since it uses less digits than its factorization.

120214006341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 120214006341 its reverse (143600412021), we get a palindrome (263814418362).

The spelling of 120214006341 in words is "one hundred twenty billion, two hundred fourteen million, six thousand, three hundred forty-one".