220212202100000 has 864 divisors, whose sum is σ = 634205679113664. Its totient is φ = 74610720000000.

The previous prime is 220212202099993. The next prime is 220212202100021. The reversal of 220212202100000 is 1202212022.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24223095455 + ... + 24223104545.

It is an arithmetic number, because the mean of its divisors is an integer number (734034350826).

Almost surely, 2^{220212202100000} is an apocalyptic number.

220212202100000 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 220212202100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317102839556832).

220212202100000 is an abundant number, since it is smaller than the sum of its proper divisors (413993477013664).

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

220212202100000 is an equidigital number, since it uses as much as digits as its factorization.

220212202100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9236 (or 9189 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220212202100000 its reverse (1202212022), we get a palindrome (220213404312022).

The spelling of 220212202100000 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred two million, one hundred thousand".