120100221120000 has 800 divisors, whose sum is σ = 436512987630720. Its totient is φ = 29091778560000.

The previous prime is 120100221119951. The next prime is 120100221120001. The reversal of 120100221120000 is 21122001021.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×120100221120000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100221120001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15660476166 + ... + 15660483834.

Almost surely, 2^{120100221120000} is an apocalyptic number.

120100221120000 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 120100221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218256493815360).

120100221120000 is an abundant number, since it is smaller than the sum of its proper divisors (316412766510720).

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

120100221120000 is an equidigital number, since it uses as much as digits as its factorization.

120100221120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9204 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120100221120000 its reverse (21122001021), we get a palindrome (120121343121021).

The spelling of 120100221120000 in words is "one hundred twenty trillion, one hundred billion, two hundred twenty-one million, one hundred twenty thousand".