1022123322000 has 480 divisors, whose sum is σ = 3898864135296. Its totient is φ = 247508352000.

The previous prime is 1022123321969. The next prime is 1022123322053. The reversal of 1022123322000 is 2233212201.

1022123322000 is a `hidden beast` number, since 10 + 221 + 233 + 2 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216411639 + ... + 216416361.

Almost surely, 2^{1022123322000} is an apocalyptic number.

1022123322000 is a gapful number since it is divisible by the number (10) 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 1022123322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949432067648).

1022123322000 is an abundant number, since it is smaller than the sum of its proper divisors (2876740813296).

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

1022123322000 is a wasteful number, since it uses less digits than its factorization.

1022123322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1022123322000 its reverse (2233212201), we get a palindrome (1024356534201).

The spelling of 1022123322000 in words is "one trillion, twenty-two billion, one hundred twenty-three million, three hundred twenty-two thousand".