212001020000000 has 2304 divisors, whose sum is σ = 703645198663680. Its totient is φ = 61824000000000.

The previous prime is 212001019999973. The next prime is 212001020000009. The reversal of 212001020000000 is 20100212.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001020000009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2099019999950 + ... + 2099020000050.

It is an arithmetic number, because the mean of its divisors is an integer number (305401561920).

Almost surely, 2^{212001020000000} is an apocalyptic number.

212001020000000 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 212001020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351822599331840).

212001020000000 is an abundant number, since it is smaller than the sum of its proper divisors (491644178663680).

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

212001020000000 is an frugal number, since it uses more digits than its factorization.

212001020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 212001020000000 its reverse (20100212), we get a palindrome (212001040100212).

The spelling of 212001020000000 in words is "two hundred twelve trillion, one billion, twenty million", and thus it is an aban number.