212011112000 has 448 divisors, whose sum is σ = 562483284480. Its totient is φ = 79027200000.

The previous prime is 212011111997. The next prime is 212011112017. The reversal of 212011112000 is 211110212.

It is a super-2 number, since 2×212011112000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1004791895 + ... + 1004792105.

Almost surely, 2^212011112000 is an apocalyptic number.

212011112000 is a gapful number since it is divisible by the number (20) 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 212011112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281241642240).

212011112000 is an abundant number, since it is smaller than the sum of its proper divisors (350472172480).

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

212011112000 is a wasteful number, since it uses less digits than its factorization.

212011112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212011112000 its reverse (211110212), we get a palindrome (212222222212).

The spelling of 212011112000 in words is "two hundred twelve billion, eleven million, one hundred twelve thousand".