10232212212000 has 576 divisors, whose sum is σ = 39489529139424. Its totient is φ = 2498671411200.

The previous prime is 10232212211953. The next prime is 10232212212007. The reversal of 10232212212000 is 21221223201.

10232212212000 is a `hidden beast` number, since 1 + 0 + 23 + 221 + 221 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2613486090384 + 7618726121616 = 1616628^2 + 2760204^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10232212212007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 22418064 + ... + 22869936.

Almost surely, 2^{10232212212000} is an apocalyptic number.

10232212212000 is a gapful number since it is divisible by the number (10) 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 10232212212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19744764569712).

10232212212000 is an abundant number, since it is smaller than the sum of its proper divisors (29257316927424).

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

10232212212000 is a wasteful number, since it uses less digits than its factorization.

10232212212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451958 (or 451937 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10232212212000 its reverse (21221223201), we get a palindrome (10253433435201).

The spelling of 10232212212000 in words is "ten trillion, two hundred thirty-two billion, two hundred twelve million, two hundred twelve thousand".