211030041112000 has 224 divisors, whose sum is σ = 571679998396416. Its totient is φ = 76529089152000.

The previous prime is 211030041111973. The next prime is 211030041112027. The reversal of 211030041112000 is 211140030112.

It is an interprime number because it is at equal distance from previous prime (211030041111973) and next prime (211030041112027).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 29028877 + ... + 35563123.

It is an arithmetic number, because the mean of its divisors is an integer number (2552142849984).

Almost surely, 2^{211030041112000} is an apocalyptic number.

211030041112000 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 211030041112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285839999198208).

211030041112000 is an abundant number, since it is smaller than the sum of its proper divisors (360649957284416).

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

211030041112000 is a wasteful number, since it uses less digits than its factorization.

211030041112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534652 (or 6534632 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211030041112000 its reverse (211140030112), we get a palindrome (211241181142112).

The spelling of 211030041112000 in words is "two hundred eleven trillion, thirty billion, forty-one million, one hundred twelve thousand".