11012000000 has 126 divisors (see below), whose sum is σ = 27485859114. Its totient is φ = 4403200000.

The previous prime is 11011999949. The next prime is 11012000023. The reversal of 11012000000 is 21011.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 10459561984 + 552438016 = 102272^2 + 23504^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3998624 + ... + 4001376.

It is an arithmetic number, because the mean of its divisors is an integer number (218141739).

Almost surely, 2^11012000000 is an apocalyptic number.

11012000000 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 11012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13742929557).

11012000000 is an abundant number, since it is smaller than the sum of its proper divisors (16473859114).

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

11012000000 is an frugal number, since it uses more digits than its factorization.

11012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 11012000000 its reverse (21011), we get a palindrome (11012021011).

The spelling of 11012000000 in words is "eleven billion, twelve million", and thus it is an aban number and an uban number.