1151141200 has 120 divisors (see below), whose sum is σ = 3029225760. Its totient is φ = 416908800.

The previous prime is 1151141183. The next prime is 1151141221. The reversal of 1151141200 is 21411511.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1746471 + ... + 1747129.

It is an arithmetic number, because the mean of its divisors is an integer number (25243548).

Almost surely, 2^1151141200 is an apocalyptic number.

1151141200 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 1151141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514612880).

1151141200 is an abundant number, since it is smaller than the sum of its proper divisors (1878084560).

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

1151141200 is a wasteful number, since it uses less digits than its factorization.

1151141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 1151141200 is about 33928.4718194027. The cubic root of 1151141200 is about 1048.0359960831.

Adding to 1151141200 its reverse (21411511), we get a palindrome (1172552711).

The spelling of 1151141200 in words is "one billion, one hundred fifty-one million, one hundred forty-one thousand, two hundred".