120002213331000 has 1536 divisors, whose sum is σ = 559312115281920. Its totient is φ = 22395253248000.

The previous prime is 120002213330969. The next prime is 120002213331073. The reversal of 120002213331000 is 133312200021.

120002213331000 is a `hidden beast` number, since 1 + 200 + 0 + 22 + 133 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×120002213331000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 333152997 + ... + 333513003.

It is an arithmetic number, because the mean of its divisors is an integer number (364135491720).

Almost surely, 2^{120002213331000} is an apocalyptic number.

120002213331000 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 120002213331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279656057640960).

120002213331000 is an abundant number, since it is smaller than the sum of its proper divisors (439309901950920).

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

120002213331000 is a wasteful number, since it uses less digits than its factorization.

120002213331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360102 (or 360085 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120002213331000 its reverse (133312200021), we get a palindrome (120135525531021).

The spelling of 120002213331000 in words is "one hundred twenty trillion, two billion, two hundred thirteen million, three hundred thirty-one thousand".