220201012021200 has 480 divisors, whose sum is σ = 844967561281536. Its totient is φ = 47927428116480.

The previous prime is 220201012021189. The next prime is 220201012021267. The reversal of 220201012021200 is 2120210102022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220201012021200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40528092 + ... + 45639108.

Almost surely, 2^{220201012021200} is an apocalyptic number.

220201012021200 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 220201012021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422483780640768).

220201012021200 is an abundant number, since it is smaller than the sum of its proper divisors (624766549260336).

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

220201012021200 is a wasteful number, since it uses less digits than its factorization.

220201012021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111291 (or 5111280 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220201012021200 its reverse (2120210102022), we get a palindrome (222321222123222).

The spelling of 220201012021200 in words is "two hundred twenty trillion, two hundred one billion, twelve million, twenty-one thousand, two hundred".