10120221232000 has 512 divisors, whose sum is σ = 28267288657920. Its totient is φ = 3601424640000.

The previous prime is 10120221231997. The next prime is 10120221232007. The reversal of 10120221232000 is 23212202101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120221232007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000906945 + ... + 1000917055.

It is an arithmetic number, because the mean of its divisors is an integer number (55209548160).

Almost surely, 2^{10120221232000} is an apocalyptic number.

10120221232000 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 10120221232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14133644328960).

10120221232000 is an abundant number, since it is smaller than the sum of its proper divisors (18147067425920).

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

10120221232000 is an equidigital number, since it uses as much as digits as its factorization.

10120221232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10120221232000 its reverse (23212202101), we get a palindrome (10143433434101).

The spelling of 10120221232000 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, two hundred thirty-two thousand".