20222322120000 has 3360 divisors, whose sum is σ = 103002306511104. Its totient is φ = 3649536000000.

The previous prime is 20222322119999. The next prime is 20222322120001. The reversal of 20222322120000 is 2122322202.

20222322120000 is a `hidden beast` number, since 2 + 0 + 222 + 322 + 120 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20222322119999) and next prime (20222322120001).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222322120001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6126118350 + ... + 6126121650.

Almost surely, 2^{20222322120000} is an apocalyptic number.

20222322120000 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 20222322120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51501153255552).

20222322120000 is an abundant number, since it is smaller than the sum of its proper divisors (82779984391104).

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

20222322120000 is a wasteful number, since it uses less digits than its factorization.

20222322120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20222322120000 its reverse (2122322202), we get a palindrome (20224444442202).

The spelling of 20222322120000 in words is "twenty trillion, two hundred twenty-two billion, three hundred twenty-two million, one hundred twenty thousand".