2120220022122 has 128 divisors (see below), whose sum is σ = 4899591936000. Its totient is φ = 678885235200.

The previous prime is 2120220022121. The next prime is 2120220022171. The reversal of 2120220022122 is 2212200220212.

2120220022122 is a `hidden beast` number, since 21 + 202 + 200 + 221 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120220022095 and 2120220022104.

It is not an unprimeable number, because it can be changed into a prime (2120220022121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 692654472 + ... + 692657532.

It is an arithmetic number, because the mean of its divisors is an integer number (38278062000).

Almost surely, 2^{2120220022122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120220022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449795968000).

2120220022122 is an abundant number, since it is smaller than the sum of its proper divisors (2779371913878).

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

2120220022122 is a wasteful number, since it uses less digits than its factorization.

2120220022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6029 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2120220022122 its reverse (2212200220212), we get a palindrome (4332420242334).

The spelling of 2120220022122 in words is "two trillion, one hundred twenty billion, two hundred twenty million, twenty-two thousand, one hundred twenty-two".