2111211120000 has 320 divisors, whose sum is σ = 7197063390000. Its totient is φ = 547771392000.

The previous prime is 2111211119981. The next prime is 2111211120001. The reversal of 2111211120000 is 211121112.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111211120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8761126 + ... + 8998874.

Almost surely, 2^{2111211120000} is an apocalyptic number.

2111211120000 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 2111211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598531695000).

2111211120000 is an abundant number, since it is smaller than the sum of its proper divisors (5085852270000).

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

2111211120000 is an equidigital number, since it uses as much as digits as its factorization.

2111211120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237823 (or 237796 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2111211120000 its reverse (211121112), we get a palindrome (2111422241112).

2111211120000 divided by its reverse (211121112) gives a 4-th power (10000 = 10⁴).

The spelling of 2111211120000 in words is "two trillion, one hundred eleven billion, two hundred eleven million, one hundred twenty thousand".