1321000322400 has 216 divisors, whose sum is σ = 5081648363064. Its totient is φ = 320242483200.

The previous prime is 1321000322399. The next prime is 1321000322401. The reversal of 1321000322400 is 42230001231.

1321000322400 is a `hidden beast` number, since 132 + 100 + 0 + 32 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1321000322399) and next prime (1321000322401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321000322401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8260449 + ... + 8418848.

It is an arithmetic number, because the mean of its divisors is an integer number (23526149829).

Almost surely, 2^{1321000322400} is an apocalyptic number.

1321000322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321000322400 is an abundant number, since it is smaller than the sum of its proper divisors (3760648040664).

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

1321000322400 is a wasteful number, since it uses less digits than its factorization.

1321000322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16679334 (or 16679318 counting only the distinct ones).

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

Adding to 1321000322400 its reverse (42230001231), we get a palindrome (1363230323631).

The spelling of 1321000322400 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-two thousand, four hundred".