212020020002000 has 320 divisors, whose sum is σ = 587630852789760. Its totient is φ = 72478264320000.

The previous prime is 212020020001969. The next prime is 212020020002003. The reversal of 212020020002000 is 200020020212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020020002003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15567951191 + ... + 15567964809.

It is an arithmetic number, because the mean of its divisors is an integer number (1836346414968).

Almost surely, 2^{212020020002000} is an apocalyptic number.

212020020002000 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 212020020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293815426394880).

212020020002000 is an abundant number, since it is smaller than the sum of its proper divisors (375610832787760).

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

212020020002000 is a wasteful number, since it uses less digits than its factorization.

212020020002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16847 (or 16831 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 212020020002000 its reverse (200020020212), we get a palindrome (212220040022212).

The spelling of 212020020002000 in words is "two hundred twelve trillion, twenty billion, twenty million, two thousand".