122120212000 has 48 divisors (see below), whose sum is σ = 300049370712. Its totient is φ = 48848083200.

The previous prime is 122120211991. The next prime is 122120212007. The reversal of 122120212000 is 212021221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12249176976 + 109871035024 = 110676^2 + 331468^2 .

It is not an unprimeable number, because it can be changed into a prime (122120212007) 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 7 ways as a sum of consecutive naturals, for example, 15261027 + ... + 15269026.

Almost surely, 2^122120212000 is an apocalyptic number.

122120212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120212000 is an abundant number, since it is smaller than the sum of its proper divisors (177929158712).

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

122120212000 is an equidigital number, since it uses as much as digits as its factorization.

122120212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30530078 (or 30530060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122120212000 its reverse (212021221), we get a palindrome (122332233221).

The spelling of 122120212000 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred twelve thousand".