120211223121330 has 256 divisors, whose sum is σ = 331845305241600. Its totient is φ = 27562901667840.

The previous prime is 120211223121293. The next prime is 120211223121343. The reversal of 120211223121330 is 33121322112021.

It is a super-3 number, since 3×120211223121330³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120211223121330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11280019362 + ... + 11280030018.

It is an arithmetic number, because the mean of its divisors is an integer number (1296270723600).

Almost surely, 2^{120211223121330} is an apocalyptic number.

120211223121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120211223121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165922652620800).

120211223121330 is an abundant number, since it is smaller than the sum of its proper divisors (211634082120270).

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

120211223121330 is a wasteful number, since it uses less digits than its factorization.

120211223121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13489.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 120211223121330 its reverse (33121322112021), we get a palindrome (153332545233351).

The spelling of 120211223121330 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred twenty-three million, one hundred twenty-one thousand, three hundred thirty".