211122120000 has 1120 divisors, whose sum is σ = 806242719744. Its totient is φ = 48281600000.

The previous prime is 211122119993. The next prime is 211122120019. The reversal of 211122120000 is 21221112.

211122120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2543639959 + ... + 2543640041.

Almost surely, 2^211122120000 is an apocalyptic number.

211122120000 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 211122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403121359872).

211122120000 is an abundant number, since it is smaller than the sum of its proper divisors (595120599744).

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

211122120000 is a wasteful number, since it uses less digits than its factorization.

211122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211122120000 its reverse (21221112), we get a palindrome (211143341112).

The spelling of 211122120000 in words is "two hundred eleven billion, one hundred twenty-two million, one hundred twenty thousand".