1022122202112 has 704 divisors, whose sum is σ = 3520237363200. Its totient is φ = 289870479360.

The previous prime is 1022122202093. The next prime is 1022122202113. The reversal of 1022122202112 is 2112022212201.

It is a happy number.

1022122202112 is a `hidden beast` number, since 10 + 221 + 2 + 220 + 211 + 2 = 666.

1022122202112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (704).

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 (1022122202113) 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, 328760814 + ... + 328763922.

Almost surely, 2^{1022122202112} is an apocalyptic number.

1022122202112 is a gapful number since it is divisible by the number (12) 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 1022122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760118681600).

1022122202112 is an abundant number, since it is smaller than the sum of its proper divisors (2498115161088).

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

1022122202112 is a wasteful number, since it uses less digits than its factorization.

1022122202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3195 counting only the distinct ones).

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

Adding to 1022122202112 its reverse (2112022212201), we get a palindrome (3134144414313).

It can be divided in two parts, 102212 and 2202112, that added together give a square (2304324 = 1518²).

The spelling of 1022122202112 in words is "one trillion, twenty-two billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".