212433049180800 has 3840 divisors, whose sum is σ = 956465821555200. Its totient is φ = 45385045770240.

The previous prime is 212433049180783. The next prime is 212433049180817. The reversal of 212433049180800 is 8081940334212.

212433049180800 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 3 + 3 + 0 + 491 + 80 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212433049180783) and next prime (212433049180817).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 417353730946 + ... + 417353731454.

It is an arithmetic number, because the mean of its divisors is an integer number (249079641030).

Almost surely, 2^{212433049180800} is an apocalyptic number.

212433049180800 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 212433049180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478232910777600).

212433049180800 is an abundant number, since it is smaller than the sum of its proper divisors (744032772374400).

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

212433049180800 is a wasteful number, since it uses less digits than its factorization.

212433049180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 212433049180800 in words is "two hundred twelve trillion, four hundred thirty-three billion, forty-nine million, one hundred eighty thousand, eight hundred".