11213110122000 has 320 divisors, whose sum is σ = 36403757415168. Its totient is φ = 2969326080000.

The previous prime is 11213110121957. The next prime is 11213110122017. The reversal of 11213110122000 is 22101131211.

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

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, 578552310 + ... + 578571690.

Almost surely, 2^{11213110122000} is an apocalyptic number.

11213110122000 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 11213110122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201878707584).

11213110122000 is an abundant number, since it is smaller than the sum of its proper divisors (25190647293168).

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

11213110122000 is a wasteful number, since it uses less digits than its factorization.

11213110122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20075 (or 20059 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11213110122000 its reverse (22101131211), we get a palindrome (11235211253211).

The spelling of 11213110122000 in words is "eleven trillion, two hundred thirteen billion, one hundred ten million, one hundred twenty-two thousand".