120210122000 has 80 divisors (see below), whose sum is σ = 294650187312. Its totient is φ = 47425305600.

The previous prime is 120210121991. The next prime is 120210122017. The reversal of 120210122000 is 221012021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 78947512576 + 41262609424 = 280976^2 + 203132^2 .

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

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, 265679 + ... + 557678.

Almost surely, 2^120210122000 is an apocalyptic number.

120210122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120210122000 is an abundant number, since it is smaller than the sum of its proper divisors (174440065312).

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

120210122000 is an equidigital number, since it uses as much as digits as its factorization.

120210122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823453 (or 823437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120210122000 its reverse (221012021), we get a palindrome (120431134021).

The spelling of 120210122000 in words is "one hundred twenty billion, two hundred ten million, one hundred twenty-two thousand".