10212233312000 has 288 divisors, whose sum is σ = 26920060038144. Its totient is φ = 3852237312000.

The previous prime is 10212233311993. The next prime is 10212233312051. The reversal of 10212233312000 is 21333221201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52158287 + ... + 52353713.

It is an arithmetic number, because the mean of its divisors is an integer number (93472430688).

Almost surely, 2^{10212233312000} is an apocalyptic number.

10212233312000 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 10212233312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460030019072).

10212233312000 is an abundant number, since it is smaller than the sum of its proper divisors (16707826726144).

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

10212233312000 is an equidigital number, since it uses as much as digits as its factorization.

10212233312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195552 (or 195528 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10212233312000 its reverse (21333221201), we get a palindrome (10233566533201).

The spelling of 10212233312000 in words is "ten trillion, two hundred twelve billion, two hundred thirty-three million, three hundred twelve thousand".