120002211002000 has 160 divisors (see below), whose sum is σ = 292067393261280. Its totient is φ = 47686916505600.

The previous prime is 120002211001997. The next prime is 120002211002017. The reversal of 120002211002000 is 200112200021.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 29848477317376 + 90153733684624 = 5463376^2 + 9494932^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282725936 + ... + 283150064.

It is an arithmetic number, because the mean of its divisors is an integer number (1825421207883).

Almost surely, 2^{120002211002000} is an apocalyptic number.

120002211002000 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 120002211002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146033696630640).

120002211002000 is an abundant number, since it is smaller than the sum of its proper divisors (172065182259280).

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

120002211002000 is a wasteful number, since it uses less digits than its factorization.

120002211002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425078 (or 425062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120002211002000 its reverse (200112200021), we get a palindrome (120202323202021).

The spelling of 120002211002000 in words is "one hundred twenty trillion, two billion, two hundred eleven million, two thousand".