120002222213010 has 320 divisors, whose sum is σ = 332670194730720. Its totient is φ = 31019780321280.

The previous prime is 120002222213009. The next prime is 120002222213017. The reversal of 120002222213010 is 10312222200021.

120002222213010 is a `hidden beast` number, since 120 + 0 + 0 + 2 + 22 + 221 + 301 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6363061745121 + 113639160467889 = 2522511^2 + 10660167^2 .

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

It is not an unprimeable number, because it can be changed into a prime (120002222213017) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 3332173764 + ... + 3332209776.

Almost surely, 2^{120002222213010} is an apocalyptic number.

120002222213010 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 120002222213010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166335097365360).

120002222213010 is an abundant number, since it is smaller than the sum of its proper divisors (212667972517710).

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

120002222213010 is a wasteful number, since it uses less digits than its factorization.

120002222213010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36715 (or 36706 counting only the distinct ones).

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

Adding to 120002222213010 its reverse (10312222200021), we get a palindrome (130314444413031).

The spelling of 120002222213010 in words is "one hundred twenty trillion, two billion, two hundred twenty-two million, two hundred thirteen thousand, ten".