220201202122000 has 320 divisors, whose sum is σ = 594864154400256. Its totient is φ = 78163680000000.

The previous prime is 220201202121931. The next prime is 220201202122003. The reversal of 220201202122000 is 221202102022.

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

It is not an unprimeable number, because it can be changed into a prime (220201202122003) 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, 157064110 + ... + 158459890.

Almost surely, 2^{220201202122000} is an apocalyptic number.

220201202122000 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 220201202122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297432077200128).

220201202122000 is an abundant number, since it is smaller than the sum of its proper divisors (374662952278256).

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

220201202122000 is a wasteful number, since it uses less digits than its factorization.

220201202122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395987 (or 1395971 counting only the distinct ones).

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

Adding to 220201202122000 its reverse (221202102022), we get a palindrome (220422404224022).

The spelling of 220201202122000 in words is "two hundred twenty trillion, two hundred one billion, two hundred two million, one hundred twenty-two thousand".