120211111211000 has 128 divisors (see below), whose sum is σ = 290439249384960. Its totient is φ = 46521915264000.

The previous prime is 120211111210903. The next prime is 120211111211011. The reversal of 120211111211000 is 112111112021.

It is a super-2 number, since 2×120211111211000² (a number of 29 digits) contains 22 as substring.

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, 126409292 + ... + 127356708.

It is an arithmetic number, because the mean of its divisors is an integer number (2269056635820).

Almost surely, 2^{120211111211000} is an apocalyptic number.

120211111211000 is a gapful number since it is divisible by the number (10) 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 120211111211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145219624692480).

120211111211000 is an abundant number, since it is smaller than the sum of its proper divisors (170228138173960).

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

120211111211000 is a wasteful number, since it uses less digits than its factorization.

120211111211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951562 (or 951548 counting only the distinct ones).

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

Adding to 120211111211000 its reverse (112111112021), we get a palindrome (120323222323021).

The spelling of 120211111211000 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred eleven million, two hundred eleven thousand".