120112240042002 has 192 divisors, whose sum is σ = 276454784332800. Its totient is φ = 34698757167360.

The previous prime is 120112240041971. The next prime is 120112240042007. The reversal of 120112240042002 is 200240042211021.

120112240042002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120112240042002² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120112240042002.

It is not an unprimeable number, because it can be changed into a prime (120112240042007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 909468649 + ... + 909600707.

It is an arithmetic number, because the mean of its divisors is an integer number (1439868668400).

Almost surely, 2^{120112240042002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120112240042002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138227392166400).

120112240042002 is an abundant number, since it is smaller than the sum of its proper divisors (156342544290798).

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

120112240042002 is a wasteful number, since it uses less digits than its factorization.

120112240042002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132833 (or 132820 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 120112240042002 its reverse (200240042211021), we get a palindrome (320352282253023).

The spelling of 120112240042002 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred forty million, forty-two thousand, two".