212212120201000 has 128 divisors (see below), whose sum is σ = 506179834767360. Its totient is φ = 83258938080000.

The previous prime is 212212120200991. The next prime is 212212120201001. The reversal of 212212120201000 is 102021212212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212212120201001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988729 + ... + 20625271.

It is an arithmetic number, because the mean of its divisors is an integer number (3954529959120).

Almost surely, 2^{212212120201000} is an apocalyptic number.

212212120201000 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 212212120201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253089917383680).

212212120201000 is an abundant number, since it is smaller than the sum of its proper divisors (293967714566360).

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

212212120201000 is a wasteful number, since it uses less digits than its factorization.

212212120201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19636772 (or 19636758 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212212120201000 its reverse (102021212212), we get a palindrome (212314141413212).

The spelling of 212212120201000 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred twenty million, two hundred one thousand".