122120121210020 has 24 divisors (see below), whose sum is σ = 259965299126904. Its totient is φ = 48178897134336.

The previous prime is 122120121210011. The next prime is 122120121210029. The reversal of 122120121210020 is 20012121021221.

It is an interprime number because it is at equal distance from previous prime (122120121210011) and next prime (122120121210029).

It can be written as a sum of positive squares in 4 ways, for example, as 31226816905216 + 90893304304804 = 5588096^2 + 9533798^2 .

It is not an unprimeable number, because it can be changed into a prime (122120121210029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41821957859 + ... + 41821960778.

It is an arithmetic number, because the mean of its divisors is an integer number (10831887463621).

Almost surely, 2^{122120121210020} is an apocalyptic number.

122120121210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120121210020 is an abundant number, since it is smaller than the sum of its proper divisors (137845177916884).

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

122120121210020 is a wasteful number, since it uses less digits than its factorization.

122120121210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83643918719 (or 83643918717 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122120121210020 its reverse (20012121021221), we get a palindrome (142132242231241).

The spelling of 122120121210020 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, two hundred ten thousand, twenty".