120214034000 has 80 divisors (see below), whose sum is σ = 295604562240. Its totient is φ = 47270556800.

The previous prime is 120214033913. The next prime is 120214034027. The reversal of 120214034000 is 430412021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 120214034000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 391382 + ... + 627381.

It is an arithmetic number, because the mean of its divisors is an integer number (3695057028).

Almost surely, 2^120214034000 is an apocalyptic number.

120214034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120214034000 is an abundant number, since it is smaller than the sum of its proper divisors (175390528240).

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

120214034000 is a wasteful number, since it uses less digits than its factorization.

120214034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018845 (or 1018829 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 120214034000 its reverse (430412021), we get a palindrome (120644446021).

The spelling of 120214034000 in words is "one hundred twenty billion, two hundred fourteen million, thirty-four thousand".