120221210000 has 100 divisors (see below), whose sum is σ = 291900696252. Its totient is φ = 47950848000.

The previous prime is 120221209991. The next prime is 120221210069. The reversal of 120221210000 is 12122021.

It is a happy number.

120221210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 76094325904 + 44126884096 = 275852^2 + 210064^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3512972 + ... + 3547028.

Almost surely, 2^120221210000 is an apocalyptic number.

120221210000 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 120221210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145950348126).

120221210000 is an abundant number, since it is smaller than the sum of its proper divisors (171679486252).

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

120221210000 is an equidigital number, since it uses as much as digits as its factorization.

120221210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34438 (or 34417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120221210000 its reverse (12122021), we get a palindrome (120233332021).

The spelling of 120221210000 in words is "one hundred twenty billion, two hundred twenty-one million, two hundred ten thousand".