1221324000 has 192 divisors, whose sum is σ = 4309381440. Its totient is φ = 300595200.

The previous prime is 1221323927. The next prime is 1221324079. The reversal of 1221324000 is 4231221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152086 + ... + 159914.

It is an arithmetic number, because the mean of its divisors is an integer number (22444695).

Almost surely, 2^1221324000 is an apocalyptic number.

1221324000 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 1221324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154690720).

1221324000 is an abundant number, since it is smaller than the sum of its proper divisors (3088057440).

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

1221324000 is a wasteful number, since it uses less digits than its factorization.

1221324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7870 (or 7852 counting only the distinct ones).

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

The square root of 1221324000 is about 34947.4462586324. The cubic root of 1221324000 is about 1068.9161295732.

Adding to 1221324000 its reverse (4231221), we get a palindrome (1225555221).

It can be divided in two parts, 1221 and 324000, that added together give a triangular number (325221 = T₈₀₆).

The spelling of 1221324000 in words is "one billion, two hundred twenty-one million, three hundred twenty-four thousand".