1321241400 has 144 divisors (see below), whose sum is σ = 4545646560. Its totient is φ = 343718400.

The previous prime is 1321241333. The next prime is 1321241419. The reversal of 1321241400 is 41421231.

1321241400 is a `hidden beast` number, since 1 + 3 + 21 + 241 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64849 + ... + 82751.

It is an arithmetic number, because the mean of its divisors is an integer number (31566990).

Almost surely, 2^1321241400 is an apocalyptic number.

1321241400 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 1321241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272823280).

1321241400 is an abundant number, since it is smaller than the sum of its proper divisors (3224405160).

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

1321241400 is a wasteful number, since it uses less digits than its factorization.

1321241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17966 (or 17954 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1321241400 is about 36348.8844395533. The cubic root of 1321241400 is about 1097.3050834916.

Adding to 1321241400 its reverse (41421231), we get a palindrome (1362662631).

The spelling of 1321241400 in words is "one billion, three hundred twenty-one million, two hundred forty-one thousand, four hundred".