212434376000000 has 1680 divisors, whose sum is σ = 675014073459264. Its totient is φ = 65370624000000.

The previous prime is 212434375999997. The next prime is 212434376000027. The reversal of 212434376000000 is 673434212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 725031999854 + ... + 725032000146.

Almost surely, 2^{212434376000000} is an apocalyptic number.

212434376000000 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 212434376000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337507036729632).

212434376000000 is an abundant number, since it is smaller than the sum of its proper divisors (462579697459264).

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

212434376000000 is an frugal number, since it uses more digits than its factorization.

212434376000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 212434376000000 in words is "two hundred twelve trillion, four hundred thirty-four billion, three hundred seventy-six million", and thus it is an aban number.