212182118400 has 624 divisors, whose sum is σ = 812547200000. Its totient is φ = 47846522880.

The previous prime is 212182118383. The next prime is 212182118437. The reversal of 212182118400 is 4811281212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169880976 + ... + 169882224.

Almost surely, 2^212182118400 is an apocalyptic number.

212182118400 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 212182118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406273600000).

212182118400 is an abundant number, since it is smaller than the sum of its proper divisors (600365081600).

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

212182118400 is a wasteful number, since it uses less digits than its factorization.

212182118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

Adding to 212182118400 its reverse (4811281212), we get a palindrome (216993399612).

The spelling of 212182118400 in words is "two hundred twelve billion, one hundred eighty-two million, one hundred eighteen thousand, four hundred".