212134310494800 has 240 divisors, whose sum is σ = 681513131296512. Its totient is φ = 56404692172800.

The previous prime is 212134310494789. The next prime is 212134310494801. The reversal of 212134310494800 is 8494013431212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212134310494801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2579381680 + ... + 2579463920.

Almost surely, 2^{212134310494800} is an apocalyptic number.

212134310494800 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 212134310494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340756565648256).

212134310494800 is an abundant number, since it is smaller than the sum of its proper divisors (469378820801712).

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

212134310494800 is a wasteful number, since it uses less digits than its factorization.

212134310494800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88486 (or 88475 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 212134310494800 in words is "two hundred twelve trillion, one hundred thirty-four billion, three hundred ten million, four hundred ninety-four thousand, eight hundred".