2002120022112 has 144 divisors (see below), whose sum is σ = 6118370620992. Its totient is φ = 571589464320.

The previous prime is 2002120022081. The next prime is 2002120022159. The reversal of 2002120022112 is 2112200212002.

It is a junction number, because it is equal to n+sod(n) for n = 2002120022091 and 2002120022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5908023 + ... + 6237705.

It is an arithmetic number, because the mean of its divisors is an integer number (42488684868).

Almost surely, 2^{2002120022112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002120022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059185310496).

2002120022112 is an abundant number, since it is smaller than the sum of its proper divisors (4116250598880).

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

2002120022112 is a wasteful number, since it uses less digits than its factorization.

2002120022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331001 (or 330986 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2002120022112 its reverse (2112200212002), we get a palindrome (4114320234114).

It can be divided in two parts, 200212002 and 2112, that multiplied together give a palindrome (422847748224).

The spelling of 2002120022112 in words is "two trillion, two billion, one hundred twenty million, twenty-two thousand, one hundred twelve".