11220634000 has 160 divisors (see below), whose sum is σ = 27976646880. Its totient is φ = 4349952000.

The previous prime is 11220633997. The next prime is 11220634021. The reversal of 11220634000 is 43602211.

It can be written as a sum of positive squares in 16 ways, for example, as 11191947264 + 28686736 = 105792^2 + 5356^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15825646 + ... + 15826354.

It is an arithmetic number, because the mean of its divisors is an integer number (174854043).

Almost surely, 2^11220634000 is an apocalyptic number.

11220634000 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 11220634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13988323440).

11220634000 is an abundant number, since it is smaller than the sum of its proper divisors (16756012880).

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

11220634000 is a wasteful number, since it uses less digits than its factorization.

11220634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The spelling of 11220634000 in words is "eleven billion, two hundred twenty million, six hundred thirty-four thousand".