11212213122000 has 960 divisors, whose sum is σ = 44082856516608. Its totient is φ = 2632642560000.

The previous prime is 11212213121999. The next prime is 11212213122023. The reversal of 11212213122000 is 22131221211.

11212213122000 is a `hidden beast` number, since 112 + 1 + 221 + 312 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 902675790 + ... + 902688210.

Almost surely, 2^{11212213122000} is an apocalyptic number.

11212213122000 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 11212213122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22041428258304).

11212213122000 is an abundant number, since it is smaller than the sum of its proper divisors (32870643394608).

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

11212213122000 is a wasteful number, since it uses less digits than its factorization.

11212213122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12605 (or 12586 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11212213122000 its reverse (22131221211), we get a palindrome (11234344343211).

The spelling of 11212213122000 in words is "eleven trillion, two hundred twelve billion, two hundred thirteen million, one hundred twenty-two thousand".