212010002001120 has 144 divisors (see below), whose sum is σ = 670637558641680. Its totient is φ = 56299440949248.

The previous prime is 212010002001113. The next prime is 212010002001197. The reversal of 212010002001120 is 21100200010212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212010002001096 and 212010002001105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23551836 + ... + 31284324.

It is an arithmetic number, because the mean of its divisors is an integer number (4657205268345).

Almost surely, 2^{212010002001120} is an apocalyptic number.

212010002001120 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 212010002001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335318779320840).

212010002001120 is an abundant number, since it is smaller than the sum of its proper divisors (458627556640560).

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

212010002001120 is an equidigital number, since it uses as much as digits as its factorization.

212010002001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732985 (or 7732738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212010002001120 its reverse (21100200010212), we get a palindrome (233110202011332).

The spelling of 212010002001120 in words is "two hundred twelve trillion, ten billion, two million, one thousand, one hundred twenty".