212010212000 has 96 divisors (see below), whose sum is σ = 522043586064. Its totient is φ = 84619392000.

The previous prime is 212010211979. The next prime is 212010212077. The reversal of 212010212000 is 212010212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32312219536 + 179697992464 = 179756^2 + 423908^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1786514 + ... + 1901486.

Almost surely, 2^212010212000 is an apocalyptic number.

212010212000 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 212010212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261021793032).

212010212000 is an abundant number, since it is smaller than the sum of its proper divisors (310033374064).

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

212010212000 is a wasteful number, since it uses less digits than its factorization.

212010212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115459 (or 115441 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212010212000 its reverse (212010212), we get a palindrome (212222222212).

212010212000 divided by its reverse (212010212) gives a cube (1000 = 10³).

The spelling of 212010212000 in words is "two hundred twelve billion, ten million, two hundred twelve thousand".