211120121212000 has 768 divisors, whose sum is σ = 698125975013376. Its totient is φ = 60597089280000.

The previous prime is 211120121211971. The next prime is 211120121212009. The reversal of 211120121212000 is 212121021112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120121212009) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1685621379 + ... + 1685746621.

It is an arithmetic number, because the mean of its divisors is an integer number (909018196632).

Almost surely, 2^{211120121212000} is an apocalyptic number.

211120121212000 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 211120121212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349062987506688).

211120121212000 is an abundant number, since it is smaller than the sum of its proper divisors (487005853801376).

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

211120121212000 is a wasteful number, since it uses less digits than its factorization.

211120121212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125720 (or 125702 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211120121212000 its reverse (212121021112), we get a palindrome (211332242233112).

The spelling of 211120121212000 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-one million, two hundred twelve thousand".