212110070400 has 576 divisors, whose sum is σ = 781342848000. Its totient is φ = 54761840640.

The previous prime is 212110070363. The next prime is 212110070413. The reversal of 212110070400 is 4070011212.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 120584721 + ... + 120586479.

It is an arithmetic number, because the mean of its divisors is an integer number (1356498000).

Almost surely, 2^212110070400 is an apocalyptic number.

212110070400 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 212110070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390671424000).

212110070400 is an abundant number, since it is smaller than the sum of its proper divisors (569232777600).

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

212110070400 is a wasteful number, since it uses less digits than its factorization.

212110070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 212110070400 its reverse (4070011212), we get a palindrome (216180081612).

The spelling of 212110070400 in words is "two hundred twelve billion, one hundred ten million, seventy thousand, four hundred".