212011101440 has 72 divisors (see below), whose sum is σ = 509809635720. Its totient is φ = 84474331136.

The previous prime is 212011101431. The next prime is 212011101451. The reversal of 212011101440 is 44101110212.

It can be written as a sum of positive squares in 4 ways, for example, as 142509270016 + 69501831424 = 377504^2 + 263632^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6716 + ... + 651204.

It is an arithmetic number, because the mean of its divisors is an integer number (7080689385).

Almost surely, 2^212011101440 is an apocalyptic number.

212011101440 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 212011101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254904817860).

212011101440 is an abundant number, since it is smaller than the sum of its proper divisors (297798534280).

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

212011101440 is an equidigital number, since it uses as much as digits as its factorization.

212011101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644767 (or 644753 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212011101440 its reverse (44101110212), we get a palindrome (256112211652).

The spelling of 212011101440 in words is "two hundred twelve billion, eleven million, one hundred one thousand, four hundred forty".