20211220000000 has 288 divisors, whose sum is σ = 51185301777792. Its totient is φ = 7963296000000.

The previous prime is 20211219999983. The next prime is 20211220000001. The reversal of 20211220000000 is 2211202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211220000001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339992459 + ... + 1340007541.

It is an arithmetic number, because the mean of its divisors is an integer number (177726742284).

Almost surely, 2^{20211220000000} is an apocalyptic number.

20211220000000 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 20211220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592650888896).

20211220000000 is an abundant number, since it is smaller than the sum of its proper divisors (30974081777792).

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

20211220000000 is an frugal number, since it uses more digits than its factorization.

20211220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15201 (or 15157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20211220000000 its reverse (2211202), we get a palindrome (20211222211202).

The spelling of 20211220000000 in words is "twenty trillion, two hundred eleven billion, two hundred twenty million", and thus it is an aban number.