212725094400 has 2304 divisors, whose sum is σ = 1023684480000. Its totient is φ = 42042654720.

The previous prime is 212725094377. The next prime is 212725094401. The reversal of 212725094400 is 4490527212.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×212725094400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212725094401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2390169556 + ... + 2390169644.

It is an arithmetic number, because the mean of its divisors is an integer number (444307500).

Almost surely, 2^212725094400 is an apocalyptic number.

212725094400 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 212725094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240000).

212725094400 is an abundant number, since it is smaller than the sum of its proper divisors (810959385600).

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

212725094400 is a wasteful number, since it uses less digits than its factorization.

212725094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 212725094400 in words is "two hundred twelve billion, seven hundred twenty-five million, ninety-four thousand, four hundred".