2120121220120 has 128 divisors (see below), whose sum is σ = 5004913276800. Its totient is φ = 807177498624.

The previous prime is 2120121220117. The next prime is 2120121220123. The reversal of 2120121220120 is 210221210212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2120121220117) and next prime (2120121220123).

It is a junction number, because it is equal to n+sod(n) for n = 2120121220094 and 2120121220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120121220123) 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 31 ways as a sum of consecutive naturals, for example, 205174474 + ... + 205184806.

It is an arithmetic number, because the mean of its divisors is an integer number (39100884975).

Almost surely, 2^{2120121220120} is an apocalyptic number.

2120121220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120121220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502456638400).

2120121220120 is an abundant number, since it is smaller than the sum of its proper divisors (2884792056680).

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

2120121220120 is a wasteful number, since it uses less digits than its factorization.

2120121220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12869 (or 12865 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2120121220120 its reverse (210221210212), we get a palindrome (2330342430332).

The spelling of 2120121220120 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".