220201101120000 has 4800 divisors, whose sum is σ = 1021112450620416. Its totient is φ = 40689008640000.

The previous prime is 220201101119969. The next prime is 220201101120019. The reversal of 220201101120000 is 21101102022.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3016453439964 + ... + 3016453440036.

Almost surely, 2^{220201101120000} is an apocalyptic number.

220201101120000 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 220201101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510556225310208).

220201101120000 is an abundant number, since it is smaller than the sum of its proper divisors (800911349500416).

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

220201101120000 is an equidigital number, since it uses as much as digits as its factorization.

220201101120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 157 counting only the distinct ones).

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

Adding to 220201101120000 its reverse (21101102022), we get a palindrome (220222202222022).

The spelling of 220201101120000 in words is "two hundred twenty trillion, two hundred one billion, one hundred one million, one hundred twenty thousand".