2122112002120 has 192 divisors, whose sum is σ = 5436740962800. Its totient is φ = 744390451200.

The previous prime is 2122112002111. The next prime is 2122112002181. The reversal of 2122112002120 is 212002112212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 673781588964 + 1448330413156 = 820842^2 + 1203466^2 .

It is a super-4 number, since 4×2122112002120⁴ (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122112002094 and 2122112002103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17601082 + ... + 17721238.

Almost surely, 2^{2122112002120} is an apocalyptic number.

2122112002120 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 2122112002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718370481400).

2122112002120 is an abundant number, since it is smaller than the sum of its proper divisors (3314628960680).

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

2122112002120 is a wasteful number, since it uses less digits than its factorization.

2122112002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120320 (or 120305 counting only the distinct ones).

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

Adding to 2122112002120 its reverse (212002112212), we get a palindrome (2334114114332).

The spelling of 2122112002120 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, two thousand, one hundred twenty".