20221211010000 has 3200 divisors, whose sum is σ = 90808867860480. Its totient is φ = 3741696000000.

The previous prime is 20221211009927. The next prime is 20221211010023. The reversal of 20221211010000 is 1011212202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 639 ways as a sum of consecutive naturals, for example, 178948769944 + ... + 178948770056.

Almost surely, 2^{20221211010000} is an apocalyptic number.

20221211010000 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 20221211010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45404433930240).

20221211010000 is an abundant number, since it is smaller than the sum of its proper divisors (70587656850480).

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

20221211010000 is a wasteful number, since it uses less digits than its factorization.

20221211010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20221211010000 its reverse (1011212202), we get a palindrome (20222222222202).

The spelling of 20221211010000 in words is "twenty trillion, two hundred twenty-one billion, two hundred eleven million, ten thousand".