1161412200 has 144 divisors (see below), whose sum is σ = 4200525420. Its totient is φ = 285880320.

The previous prime is 1161412193. The next prime is 1161412229. The reversal of 1161412200 is 22141611.

It can be written as a sum of positive squares in 6 ways, for example, as 107371044 + 1054041156 = 10362^2 + 32466^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1417 + ... + 48216.

Almost surely, 2^1161412200 is an apocalyptic number.

1161412200 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 1161412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100262710).

1161412200 is an abundant number, since it is smaller than the sum of its proper divisors (3039113220).

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

1161412200 is a wasteful number, since it uses less digits than its factorization.

1161412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49668 (or 49656 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1161412200 is about 34079.4982357428. The cubic root of 1161412200 is about 1051.1437876087.

Adding to 1161412200 its reverse (22141611), we get a palindrome (1183553811).

It can be divided in two parts, 116141 and 2200, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 1161412200 in words is "one billion, one hundred sixty-one million, four hundred twelve thousand, two hundred".