120221320122000 has 1280 divisors, whose sum is σ = 444317164262400. Its totient is φ = 31056025190400.

The previous prime is 120221320121953. The next prime is 120221320122011. The reversal of 120221320122000 is 221023122021.

120221320122000 is a `hidden beast` number, since 1 + 2 + 0 + 221 + 320 + 122 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 263066345772 + ... + 263066346228.

It is an arithmetic number, because the mean of its divisors is an integer number (347122784580).

Almost surely, 2^{120221320122000} is an apocalyptic number.

120221320122000 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 120221320122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222158582131200).

120221320122000 is an abundant number, since it is smaller than the sum of its proper divisors (324095844140400).

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

120221320122000 is a wasteful number, since it uses less digits than its factorization.

120221320122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120221320122000 its reverse (221023122021), we get a palindrome (120442343244021).

The spelling of 120221320122000 in words is "one hundred twenty trillion, two hundred twenty-one billion, three hundred twenty million, one hundred twenty-two thousand".