1322131200 has 216 divisors, whose sum is σ = 4699834608. Its totient is φ = 325386240.

The previous prime is 1322131193. The next prime is 1322131231. The reversal of 1322131200 is 21312231.

It is a super-3 number, since 3×1322131200³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1322131200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246952 + ... + 252248.

Almost surely, 2^1322131200 is an apocalyptic number.

1322131200 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 1322131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349917304).

1322131200 is an abundant number, since it is smaller than the sum of its proper divisors (3377703408).

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

1322131200 is a wasteful number, since it uses less digits than its factorization.

1322131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1322131200 is about 36361.1220948969. The cubic root of 1322131200 is about 1097.5513576802.

Adding to 1322131200 its reverse (21312231), we get a palindrome (1343443431).

The spelling of 1322131200 in words is "one billion, three hundred twenty-two million, one hundred thirty-one thousand, two hundred".