11212201000 has 512 divisors, whose sum is σ = 36833771520. Its totient is φ = 3079296000.

The previous prime is 11212200973. The next prime is 11212201003. The reversal of 11212201000 is 10221211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11212201003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23022757 + ... + 23023243.

It is an arithmetic number, because the mean of its divisors is an integer number (71940960).

Almost surely, 2^11212201000 is an apocalyptic number.

11212201000 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 11212201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416885760).

11212201000 is an abundant number, since it is smaller than the sum of its proper divisors (25621570520).

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

11212201000 is a wasteful number, since it uses less digits than its factorization.

11212201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11212201000 its reverse (10221211), we get a palindrome (11222422211).

It can be divided in two parts, 11212 and 201000, that added together give a palindrome (212212).

The spelling of 11212201000 in words is "eleven billion, two hundred twelve million, two hundred one thousand".