11212012112000 has 256 divisors, whose sum is σ = 31897103546880. Its totient is φ = 3839416012800.

The previous prime is 11212012111981. The next prime is 11212012112039. The reversal of 11212012112000 is 21121021211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92115182 + ... + 92236818.

It is an arithmetic number, because the mean of its divisors is an integer number (124598060730).

Almost surely, 2^{11212012112000} is an apocalyptic number.

11212012112000 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 11212012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15948551773440).

11212012112000 is an abundant number, since it is smaller than the sum of its proper divisors (20685091434880).

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

11212012112000 is an equidigital number, since it uses as much as digits as its factorization.

11212012112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122496 (or 122474 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11212012112000 its reverse (21121021211), we get a palindrome (11233133133211).

The spelling of 11212012112000 in words is "eleven trillion, two hundred twelve billion, twelve million, one hundred twelve thousand".