20111210212000 has 384 divisors, whose sum is σ = 54310943232000. Its totient is φ = 7284968064000.

The previous prime is 20111210211991. The next prime is 20111210212001. The reversal of 20111210212000 is 21201211102.

It is not an unprimeable number, because it can be changed into a prime (20111210212001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3724985301 + ... + 3724990699.

It is an arithmetic number, because the mean of its divisors is an integer number (141434748000).

Almost surely, 2^{20111210212000} is an apocalyptic number.

20111210212000 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 20111210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27155471616000).

20111210212000 is an abundant number, since it is smaller than the sum of its proper divisors (34199733020000).

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

20111210212000 is a wasteful number, since it uses less digits than its factorization.

20111210212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7597 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20111210212000 its reverse (21201211102), we get a palindrome (20132411423102).

The spelling of 20111210212000 in words is "twenty trillion, one hundred eleven billion, two hundred ten million, two hundred twelve thousand".