212111350400 has 192 divisors, whose sum is σ = 544216563000. Its totient is φ = 81619845120.

The previous prime is 212111350393. The next prime is 212111350447. The reversal of 212111350400 is 4053111212.

It can be written as a sum of positive squares in 12 ways, for example, as 56503191616 + 155608158784 = 237704^2 + 394472^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10527536 + ... + 10547664.

Almost surely, 2^212111350400 is an apocalyptic number.

212111350400 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 212111350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272108281500).

212111350400 is an abundant number, since it is smaller than the sum of its proper divisors (332105212600).

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

212111350400 is a wasteful number, since it uses less digits than its factorization.

212111350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20279 (or 20262 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 212111350400 its reverse (4053111212), we get a palindrome (216164461612).

The spelling of 212111350400 in words is "two hundred twelve billion, one hundred eleven million, three hundred fifty thousand, four hundred".