211011001121120 has 96 divisors (see below), whose sum is σ = 500707421424000. Its totient is φ = 84033093738496.

The previous prime is 211011001121083. The next prime is 211011001121189. The reversal of 211011001121120 is 21121100110112.

It is a junction number, because it is equal to n+sod(n) for n = 211011001121095 and 211011001121104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177184292 + ... + 178371228.

It is an arithmetic number, because the mean of its divisors is an integer number (5215702306500).

Almost surely, 2^{211011001121120} is an apocalyptic number.

211011001121120 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 211011001121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250353710712000).

211011001121120 is an abundant number, since it is smaller than the sum of its proper divisors (289696420302880).

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

211011001121120 is a wasteful number, since it uses less digits than its factorization.

211011001121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191840 (or 1191832 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211011001121120 its reverse (21121100110112), we get a palindrome (232132101231232).

The spelling of 211011001121120 in words is "two hundred eleven trillion, eleven billion, one million, one hundred twenty-one thousand, one hundred twenty".