1322120122000 has 80 divisors (see below), whose sum is σ = 3197239149312. Its totient is φ = 528789705600.

The previous prime is 1322120121997. The next prime is 1322120122009. The reversal of 1322120122000 is 2210212231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1322120122000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1322120122009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21182839 + ... + 21245161.

Almost surely, 2^{1322120122000} is an apocalyptic number.

1322120122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322120122000 is an abundant number, since it is smaller than the sum of its proper divisors (1875119027312).

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

1322120122000 is a wasteful number, since it uses less digits than its factorization.

1322120122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72953 (or 72937 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1322120122000 its reverse (2210212231), we get a palindrome (1324330334231).

The spelling of 1322120122000 in words is "one trillion, three hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand".