212011014400 has 108 divisors (see below), whose sum is σ = 533363998804. Its totient is φ = 83414016000.

The previous prime is 212011014373. The next prime is 212011014419. The reversal of 212011014400 is 4410110212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 74542104576 + 137468909824 = 273024^2 + 370768^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 118870 + ... + 661930.

Almost surely, 2^212011014400 is an apocalyptic number.

212011014400 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 212011014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266681999402).

212011014400 is an abundant number, since it is smaller than the sum of its proper divisors (321352984404).

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

212011014400 is an equidigital number, since it uses as much as digits as its factorization.

212011014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543148 (or 543129 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212011014400 its reverse (4410110212), we get a palindrome (216421124612).

The spelling of 212011014400 in words is "two hundred twelve billion, eleven million, fourteen thousand, four hundred".