20111121212000 has 1536 divisors, whose sum is σ = 63894396174336. Its totient is φ = 6053806080000.

The previous prime is 20111121211997. The next prime is 20111121212059. The reversal of 20111121212000 is 21212111102.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 255 ways as a sum of consecutive naturals, for example, 177974523944 + ... + 177974524056.

It is an arithmetic number, because the mean of its divisors is an integer number (41597914176).

Almost surely, 2^{20111121212000} is an apocalyptic number.

20111121212000 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 20111121212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31947198087168).

20111121212000 is an abundant number, since it is smaller than the sum of its proper divisors (43783274962336).

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

20111121212000 is a wasteful number, since it uses less digits than its factorization.

20111121212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20111121212000 its reverse (21212111102), we get a palindrome (20132333323102).

The spelling of 20111121212000 in words is "twenty trillion, one hundred eleven billion, one hundred twenty-one million, two hundred twelve thousand".