1012147200 has 396 divisors, whose sum is σ = 3801328128. Its totient is φ = 256819200.

The previous prime is 1012147193. The next prime is 1012147211. The reversal of 1012147200 is 27412101.

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

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, 5299105 + ... + 5299295.

Almost surely, 2^1012147200 is an apocalyptic number.

1012147200 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 1012147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900664064).

1012147200 is an abundant number, since it is smaller than the sum of its proper divisors (2789180928).

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

1012147200 is a wasteful number, since it uses less digits than its factorization.

1012147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1012147200 is about 31814.2609532266. The cubic root of 1012147200 is about 1004.0327814781.

Adding to 1012147200 its reverse (27412101), we get a palindrome (1039559301).

The spelling of 1012147200 in words is "one billion, twelve million, one hundred forty-seven thousand, two hundred".