1020011200 has 336 divisors, whose sum is σ = 2976372000. Its totient is φ = 340623360.

The previous prime is 1020011189. The next prime is 1020011207. The reversal of 1020011200 is 21100201.

It is not an unprimeable number, because it can be changed into a prime (1020011207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11460756 + ... + 11460844.

It is an arithmetic number, because the mean of its divisors is an integer number (8858250).

Almost surely, 2^1020011200 is an apocalyptic number.

1020011200 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 1020011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488186000).

1020011200 is an abundant number, since it is smaller than the sum of its proper divisors (1956360800).

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

1020011200 is a wasteful number, since it uses less digits than its factorization.

1020011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1020011200 is about 31937.6141876628. The cubic root of 1020011200 is about 1006.6263939173.

Adding to 1020011200 its reverse (21100201), we get a palindrome (1041111401).

The spelling of 1020011200 in words is "one billion, twenty million, eleven thousand, two hundred".