1022120221122 has 768 divisors, whose sum is σ = 3242821091328. Its totient is φ = 232579226880.

The previous prime is 1022120221121. The next prime is 1022120221153. The reversal of 1022120221122 is 2211220212201.

It is a happy number.

1022120221122 is a `hidden beast` number, since 10 + 221 + 202 + 211 + 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 = 1022120221095 and 1022120221104.

It is not an unprimeable number, because it can be changed into a prime (1022120221121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1868592453 + ... + 1868592999.

It is an arithmetic number, because the mean of its divisors is an integer number (4222423296).

Almost surely, 2^{1022120221122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022120221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621410545664).

1022120221122 is an abundant number, since it is smaller than the sum of its proper divisors (2220700870206).

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

1022120221122 is a wasteful number, since it uses less digits than its factorization.

1022120221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 773 counting only the distinct ones).

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

Adding to 1022120221122 its reverse (2211220212201), we get a palindrome (3233340433323).

The spelling of 1022120221122 in words is "one trillion, twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty-two".