220020121222000 has 320 divisors, whose sum is σ = 591107474700288. Its totient is φ = 78539809920000.

The previous prime is 220020121221947. The next prime is 220020121222021. The reversal of 220020121222000 is 222121020022.

220020121222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286298265 + ... + 287065735.

Almost surely, 2^{220020121222000} is an apocalyptic number.

220020121222000 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 220020121222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295553737350144).

220020121222000 is an abundant number, since it is smaller than the sum of its proper divisors (371087353478288).

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

220020121222000 is a wasteful number, since it uses less digits than its factorization.

220020121222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767745 (or 767729 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220020121222000 its reverse (222121020022), we get a palindrome (220242242242022).

The spelling of 220020121222000 in words is "two hundred twenty trillion, twenty billion, one hundred twenty-one million, two hundred twenty-two thousand".