1211324400 has 540 divisors, whose sum is σ = 4993102296. Its totient is φ = 269568000.

The previous prime is 1211324369. The next prime is 1211324407. The reversal of 1211324400 is 44231121.

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 (1211324407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6692310 + ... + 6692490.

Almost surely, 2^1211324400 is an apocalyptic number.

1211324400 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 1211324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496551148).

1211324400 is an abundant number, since it is smaller than the sum of its proper divisors (3781777896).

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

1211324400 is a wasteful number, since it uses less digits than its factorization.

1211324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

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

The square root of 1211324400 is about 34804.0859670240. The cubic root of 1211324400 is about 1065.9908783673.

Adding to 1211324400 its reverse (44231121), we get a palindrome (1255555521).

The spelling of 1211324400 in words is "one billion, two hundred eleven million, three hundred twenty-four thousand, four hundred".