11202211002112 has 144 divisors (see below), whose sum is σ = 24508381524480. Its totient is φ = 5078860148736.

The previous prime is 11202211002107. The next prime is 11202211002131. The reversal of 11202211002112 is 21120011220211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79978413 + ... + 80118355.

It is an arithmetic number, because the mean of its divisors is an integer number (170197093920).

Almost surely, 2^{11202211002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202211002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254190762240).

11202211002112 is an abundant number, since it is smaller than the sum of its proper divisors (13306170522368).

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

11202211002112 is a wasteful number, since it uses less digits than its factorization.

11202211002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140398 (or 140384 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11202211002112 its reverse (21120011220211), we get a palindrome (32322222222323).

The spelling of 11202211002112 in words is "eleven trillion, two hundred two billion, two hundred eleven million, two thousand, one hundred twelve".