1150261200 has 360 divisors, whose sum is σ = 4499878656. Its totient is φ = 269568000.

The previous prime is 1150261199. The next prime is 1150261207. The reversal of 1150261200 is 21620511.

1150261200 is a `hidden beast` number, since 1 + 1 + 50 + 2 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150261207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1227132 + ... + 1228068.

Almost surely, 2^1150261200 is an apocalyptic number.

1150261200 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 1150261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249939328).

1150261200 is an abundant number, since it is smaller than the sum of its proper divisors (3349617456).

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

1150261200 is a wasteful number, since it uses less digits than its factorization.

1150261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1150261200 is about 33915.5008808657. The cubic root of 1150261200 is about 1047.7688678949.

Adding to 1150261200 its reverse (21620511), we get a palindrome (1171881711).

The spelling of 1150261200 in words is "one billion, one hundred fifty million, two hundred sixty-one thousand, two hundred".