10223012012000 has 96 divisors (see below), whose sum is σ = 25123239033984. Its totient is φ = 4088342208000.

The previous prime is 10223012011999. The next prime is 10223012012021. The reversal of 10223012012000 is 21021032201.

It is a happy number.

It is a congruent number.

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, 18864830 + ... + 19399170.

It is an arithmetic number, because the mean of its divisors is an integer number (261700406604).

Almost surely, 2^{10223012012000} is an apocalyptic number.

10223012012000 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 10223012012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561619516992).

10223012012000 is an abundant number, since it is smaller than the sum of its proper divisors (14900227021984).

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

10223012012000 is an equidigital number, since it uses as much as digits as its factorization.

10223012012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539149 (or 539131 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10223012012000 its reverse (21021032201), we get a palindrome (10244033044201).

The spelling of 10223012012000 in words is "ten trillion, two hundred twenty-three billion, twelve million, twelve thousand".