120221211000 has 512 divisors, whose sum is σ = 425782656000. Its totient is φ = 27974912000.

The previous prime is 120221210957. The next prime is 120221211017. The reversal of 120221211000 is 112122021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257432767 + ... + 257433233.

It is an arithmetic number, because the mean of its divisors is an integer number (831606750).

Almost surely, 2^120221211000 is an apocalyptic number.

120221211000 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 120221211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212891328000).

120221211000 is an abundant number, since it is smaller than the sum of its proper divisors (305561445000).

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

120221211000 is a wasteful number, since it uses less digits than its factorization.

120221211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 786 counting only the distinct ones).

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

Adding to 120221211000 its reverse (112122021), we get a palindrome (120333333021).

The spelling of 120221211000 in words is "one hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand".