1321022400 has 168 divisors, whose sum is σ = 4589282160. Its totient is φ = 331530240.

The previous prime is 1321022399. The next prime is 1321022431. The reversal of 1321022400 is 42201231.

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 1321022400.

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, 73506 + ... + 89694.

Almost surely, 2^1321022400 is an apocalyptic number.

1321022400 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 1321022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294641080).

1321022400 is an abundant number, since it is smaller than the sum of its proper divisors (3268259760).

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

1321022400 is a wasteful number, since it uses less digits than its factorization.

1321022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16231 (or 16216 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1321022400 is about 36345.8718426178. The cubic root of 1321022400 is about 1097.2444528625.

Adding to 1321022400 its reverse (42201231), we get a palindrome (1363223631).

The spelling of 1321022400 in words is "one billion, three hundred twenty-one million, twenty-two thousand, four hundred".