120222211211000 has 128 divisors (see below), whose sum is σ = 288178378076160. Its totient is φ = 46918963728000.

The previous prime is 120222211210991. The next prime is 120222211211099. The reversal of 120222211211000 is 112112222021.

120222211211000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 120222211211000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37638497 + ... + 40707503.

It is an arithmetic number, because the mean of its divisors is an integer number (2251393578720).

Almost surely, 2^{120222211211000} is an apocalyptic number.

120222211211000 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 120222211211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144089189038080).

120222211211000 is an abundant number, since it is smaller than the sum of its proper divisors (167956166865160).

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

120222211211000 is a wasteful number, since it uses less digits than its factorization.

120222211211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069982 (or 3069968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120222211211000 its reverse (112112222021), we get a palindrome (120334323433021).

The spelling of 120222211211000 in words is "one hundred twenty trillion, two hundred twenty-two billion, two hundred eleven million, two hundred eleven thousand".