1322120000 has 70 divisors (see below), whose sum is σ = 3278527098. Its totient is φ = 528832000.

The previous prime is 1322119979. The next prime is 1322120003. The reversal of 1322120000 is 212231.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 291453184 + 1030666816 = 17072^2 + 32104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 23474 + ... + 56526.

Almost surely, 2^1322120000 is an apocalyptic number.

1322120000 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 1322120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639263549).

1322120000 is an abundant number, since it is smaller than the sum of its proper divisors (1956407098).

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

1322120000 is an frugal number, since it uses more digits than its factorization.

1322120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33085 (or 33060 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1322120000 is about 36360.9680839221. The cubic root of 1322120000 is about 1097.5482584896.

Adding to 1322120000 its reverse (212231), we get a palindrome (1322332231).

The spelling of 1322120000 in words is "one billion, three hundred twenty-two million, one hundred twenty thousand".