120112002120 has 128 divisors (see below), whose sum is σ = 394545530880. Its totient is φ = 29010528000.

The previous prime is 120112002119. The next prime is 120112002121. The reversal of 120112002120 is 21200211021.

It is an interprime number because it is at equal distance from previous prime (120112002119) and next prime (120112002121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120112002096 and 120112002105.

It is not an unprimeable number, because it can be changed into a prime (120112002121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189835 + ... + 525605.

It is an arithmetic number, because the mean of its divisors is an integer number (3082386960).

Almost surely, 2^120112002120 is an apocalyptic number.

120112002120 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 120112002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197272765440).

120112002120 is an abundant number, since it is smaller than the sum of its proper divisors (274433528760).

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

120112002120 is a wasteful number, since it uses less digits than its factorization.

120112002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336067 (or 336063 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120112002120 its reverse (21200211021), we get a palindrome (141312213141).

The spelling of 120112002120 in words is "one hundred twenty billion, one hundred twelve million, two thousand, one hundred twenty".