1147205000 has 60 divisors (see below), whose sum is σ = 2693524515. Its totient is φ = 457924000.

The previous prime is 1147204973. The next prime is 1147205011. The reversal of 1147205000 is 5027411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 265233796 + 881971204 = 16286^2 + 29698^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=23950.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2394761 + ... + 2395239.

Almost surely, 2^1147205000 is an apocalyptic number.

1147205000 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 1147205000

1147205000 is an abundant number, since it is smaller than the sum of its proper divisors (1546319515).

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

1147205000 is an frugal number, since it uses more digits than its factorization.

1147205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 1147205000 is about 33870.4148188356. The cubic root of 1147205000 is about 1046.8400842294.

The spelling of 1147205000 in words is "one billion, one hundred forty-seven million, two hundred five thousand".