20110221212000 has 192 divisors, whose sum is σ = 51818247936000. Its totient is φ = 7655673484800.

The previous prime is 20110221211999. The next prime is 20110221212057. The reversal of 20110221212000 is 21212201102.

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, 17758781 + ... + 18857219.

It is an arithmetic number, because the mean of its divisors is an integer number (269886708000).

Almost surely, 2^{20110221212000} is an apocalyptic number.

20110221212000 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 20110221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25909123968000).

20110221212000 is an abundant number, since it is smaller than the sum of its proper divisors (31708026724000).

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

20110221212000 is a wasteful number, since it uses less digits than its factorization.

20110221212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098686 (or 1098668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20110221212000 its reverse (21212201102), we get a palindrome (20131433413102).

It can be divided in two parts, 201 and 10221212000, that added together give a palindrome (10221212201).

The spelling of 20110221212000 in words is "twenty trillion, one hundred ten billion, two hundred twenty-one million, two hundred twelve thousand".