1022122022112 has 72 divisors (see below), whose sum is σ = 2974256268984. Its totient is φ = 332783910144.

The previous prime is 1022122022111. The next prime is 1022122022147. The reversal of 1022122022112 is 2112202212201.

It is a happy number.

1022122022112 is a `hidden beast` number, since 1 + 0 + 221 + 220 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022122022111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41255463 + ... + 41280230.

It is an arithmetic number, because the mean of its divisors is an integer number (41309114847).

Almost surely, 2^{1022122022112} is an apocalyptic number.

1022122022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022122022112 is an abundant number, since it is smaller than the sum of its proper divisors (1952134246872).

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

1022122022112 is a wasteful number, since it uses less digits than its factorization.

1022122022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82535752 (or 82535741 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022122022112 its reverse (2112202212201), we get a palindrome (3134324234313).

It can be divided in two parts, 10 and 22122022112, that added together give a palindrome (22122022122).

The spelling of 1022122022112 in words is "one trillion, twenty-two billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".