1147381200 has 300 divisors, whose sum is σ = 4707054880. Its totient is φ = 262206720.

The previous prime is 1147381181. The next prime is 1147381219. The reversal of 1147381200 is 21837411.

It is an interprime number because it is at equal distance from previous prime (1147381181) and next prime (1147381219).

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1147381200² = 2632967236226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 224271 + ... + 229329.

Almost surely, 2^1147381200 is an apocalyptic number.

1147381200 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 1147381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353527440).

1147381200 is an abundant number, since it is smaller than the sum of its proper divisors (3559673680).

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

1147381200 is a wasteful number, since it uses less digits than its factorization.

1147381200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1147381200 is about 33873.0158090478. The cubic root of 1147381200 is about 1046.8936764471.

The spelling of 1147381200 in words is "one billion, one hundred forty-seven million, three hundred eighty-one thousand, two hundred".