1012120000 has 70 divisors (see below), whose sum is σ = 2509827848. Its totient is φ = 404832000.

The previous prime is 1012119967. The next prime is 1012120003. The reversal of 1012120000 is 212101.

1012120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 27349 + ... + 52651.

Almost surely, 2^1012120000 is an apocalyptic number.

1012120000 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 1012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254913924).

1012120000 is an abundant number, since it is smaller than the sum of its proper divisors (1497707848).

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

1012120000 is an frugal number, since it uses more digits than its factorization.

1012120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25335 (or 25310 counting only the distinct ones).

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

The square root of 1012120000 is about 31813.8334691059. The cubic root of 1012120000 is about 1004.0237874186.

Adding to 1012120000 its reverse (212101), we get a palindrome (1012332101).

The spelling of 1012120000 in words is "one billion, twelve million, one hundred twenty thousand".