1211141400 has 192 divisors, whose sum is σ = 4307105280. Its totient is φ = 275788800.

The previous prime is 1211141389. The next prime is 1211141411. The reversal of 1211141400 is 41411121.

It is an interprime number because it is at equal distance from previous prime (1211141389) and next prime (1211141411).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1211141400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1919085 + ... + 1919715.

It is an arithmetic number, because the mean of its divisors is an integer number (22432840).

Almost surely, 2^1211141400 is an apocalyptic number.

1211141400 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 1211141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153552640).

1211141400 is an abundant number, since it is smaller than the sum of its proper divisors (3095963880).

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

1211141400 is a wasteful number, since it uses less digits than its factorization.

1211141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1211141400 is about 34801.4568660566. The cubic root of 1211141400 is about 1065.9371943844.

Adding to 1211141400 its reverse (41411121), we get a palindrome (1252552521).

The spelling of 1211141400 in words is "one billion, two hundred eleven million, one hundred forty-one thousand, four hundred".