1211340431400 has 192 divisors, whose sum is σ = 4117332098880. Its totient is φ = 292167321600.

The previous prime is 1211340431369. The next prime is 1211340431447. The reversal of 1211340431400 is 41340431121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834372 + ... + 1766028.

It is an arithmetic number, because the mean of its divisors is an integer number (21444438015).

Almost surely, 2^{1211340431400} is an apocalyptic number.

1211340431400 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 1211340431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058666049440).

1211340431400 is an abundant number, since it is smaller than the sum of its proper divisors (2905991667480).

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

1211340431400 is a wasteful number, since it uses less digits than its factorization.

1211340431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931884 (or 931875 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1211340431400 its reverse (41340431121), we get a palindrome (1252680862521).

The spelling of 1211340431400 in words is "one trillion, two hundred eleven billion, three hundred forty million, four hundred thirty-one thousand, four hundred".