1202000122112 has 72 divisors (see below), whose sum is σ = 2541145183416. Its totient is φ = 565490221056.

The previous prime is 1202000122087. The next prime is 1202000122153. The reversal of 1202000122112 is 2112210002021.

It can be written as a sum of positive squares in 4 ways, for example, as 152899768576 + 1049100353536 = 391024^2 + 1024256^2 .

It is a super-2 number, since 2×1202000122112² (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 16470728 + ... + 16543544.

It is an arithmetic number, because the mean of its divisors is an integer number (35293683103).

Almost surely, 2^{1202000122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202000122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270572591708).

1202000122112 is an abundant number, since it is smaller than the sum of its proper divisors (1339145061304).

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

1202000122112 is an equidigital number, since it uses as much as digits as its factorization.

1202000122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76643 (or 76629 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1202000122112 its reverse (2112210002021), we get a palindrome (3314210124133).

The spelling of 1202000122112 in words is "one trillion, two hundred two billion, one hundred twenty-two thousand, one hundred twelve".