212130443510400 has 192 divisors, whose sum is σ = 699774660796320. Its totient is φ = 56481488547840.

The previous prime is 212130443510357. The next prime is 212130443510413. The reversal of 212130443510400 is 4015344031212.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×212130443510400³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10650742 + ... + 23188341.

Almost surely, 2^{212130443510400} is an apocalyptic number.

212130443510400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212130443510400 is an abundant number, since it is smaller than the sum of its proper divisors (487644217285920).

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

212130443510400 is a wasteful number, since it uses less digits than its factorization.

212130443510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33839763 (or 33839746 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 212130443510400 its reverse (4015344031212), we get a palindrome (216145787541612).

The spelling of 212130443510400 in words is "two hundred twelve trillion, one hundred thirty billion, four hundred forty-three million, five hundred ten thousand, four hundred".