1012019200 has 78 divisors (see below), whose sum is σ = 2509755164. Its totient is φ = 404766720.

The previous prime is 1012019189. The next prime is 1012019209. The reversal of 1012019200 is 29102101.

It is a super-2 number, since 2×1012019200² = 2048365722337280000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1012019209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97459 + ... + 107341.

Almost surely, 2^1012019200 is an apocalyptic number.

1012019200 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 1012019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254877582).

1012019200 is an abundant number, since it is smaller than the sum of its proper divisors (1497735964).

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

1012019200 is an frugal number, since it uses more digits than its factorization.

1012019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9917 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1012019200 is about 31812.2492131569. The cubic root of 1012019200 is about 1003.9904550872.

The spelling of 1012019200 in words is "one billion, twelve million, nineteen thousand, two hundred".