212200220122000 has 320 divisors, whose sum is σ = 589400587376640. Its totient is φ = 73078312896000.

The previous prime is 212200220121997. The next prime is 212200220122031. The reversal of 212200220122000 is 221022002212.

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

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, 1288611669 + ... + 1288776331.

It is an arithmetic number, because the mean of its divisors is an integer number (1841876835552).

Almost surely, 2^{212200220122000} is an apocalyptic number.

212200220122000 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 212200220122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294700293688320).

212200220122000 is an abundant number, since it is smaller than the sum of its proper divisors (377200367254640).

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

212200220122000 is a wasteful number, since it uses less digits than its factorization.

212200220122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167799 (or 167783 counting only the distinct ones).

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

Adding to 212200220122000 its reverse (221022002212), we get a palindrome (212421242124212).

The spelling of 212200220122000 in words is "two hundred twelve trillion, two hundred billion, two hundred twenty million, one hundred twenty-two thousand".