212034010024000 has 112 divisors (see below), whose sum is σ = 525159939507840. Its totient is φ = 84804282201600.

The previous prime is 212034010023973. The next prime is 212034010024019. The reversal of 212034010024000 is 420010430212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71564031 + ... + 74467969.

It is an arithmetic number, because the mean of its divisors is an integer number (4688928031320).

Almost surely, 2^{212034010024000} is an apocalyptic number.

212034010024000 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 212034010024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262579969753920).

212034010024000 is an abundant number, since it is smaller than the sum of its proper divisors (313125929483840).

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

212034010024000 is an equidigital number, since it uses as much as digits as its factorization.

212034010024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913093 (or 2913073 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 212034010024000 its reverse (420010430212), we get a palindrome (212454020454212).

The spelling of 212034010024000 in words is "two hundred twelve trillion, thirty-four billion, ten million, twenty-four thousand".