11311132212000 has 1152 divisors, whose sum is σ = 43814139183360. Its totient is φ = 2753674444800.

The previous prime is 11311132211993. The next prime is 11311132212013. The reversal of 11311132212000 is 21223111311.

11311132212000 is a `hidden beast` number, since 1 + 1 + 311 + 132 + 21 + 200 + 0 = 666.

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

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, 2707953912 + ... + 2707958088.

It is an arithmetic number, because the mean of its divisors is an integer number (38033106930).

Almost surely, 2^{11311132212000} is an apocalyptic number.

11311132212000 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 11311132212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21907069591680).

11311132212000 is an abundant number, since it is smaller than the sum of its proper divisors (32503006971360).

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

11311132212000 is a wasteful number, since it uses less digits than its factorization.

11311132212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11311132212000 its reverse (21223111311), we get a palindrome (11332355323311).

The spelling of 11311132212000 in words is "eleven trillion, three hundred eleven billion, one hundred thirty-two million, two hundred twelve thousand".