11202211122000 has 320 divisors, whose sum is σ = 37078395045120. Its totient is φ = 2908508928000.

The previous prime is 11202211121963. The next prime is 11202211122043. The reversal of 11202211122000 is 22111220211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41523546 + ... + 41792454.

It is an arithmetic number, because the mean of its divisors is an integer number (115869984516).

Almost surely, 2^{11202211122000} is an apocalyptic number.

11202211122000 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 11202211122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539197522560).

11202211122000 is an abundant number, since it is smaller than the sum of its proper divisors (25876183923120).

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

11202211122000 is a wasteful number, since it uses less digits than its factorization.

11202211122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269119 (or 269103 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11202211122000 its reverse (22111220211), we get a palindrome (11224322342211).

The spelling of 11202211122000 in words is "eleven trillion, two hundred two billion, two hundred eleven million, one hundred twenty-two thousand".