1211142400 has 108 divisors (see below), whose sum is σ = 3228585892. Its totient is φ = 447160320.

The previous prime is 1211142397. The next prime is 1211142421. The reversal of 1211142400 is 42411121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 302481664 + 908660736 = 17392^2 + 30144^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75922 + ... + 90478.

Almost surely, 2^1211142400 is an apocalyptic number.

1211142400 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 1211142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614292946).

1211142400 is an abundant number, since it is smaller than the sum of its proper divisors (2017443492).

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

1211142400 is a wasteful number, since it uses less digits than its factorization.

1211142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14596 (or 14577 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1211142400 is about 34801.4712332683. The cubic root of 1211142400 is about 1065.9374877542.

Adding to 1211142400 its reverse (42411121), we get a palindrome (1253553521).

The spelling of 1211142400 in words is "one billion, two hundred eleven million, one hundred forty-two thousand, four hundred".