120011010002120 has 96 divisors (see below), whose sum is σ = 285012644527800. Its totient is φ = 45473380079616.

The previous prime is 120011010002099. The next prime is 120011010002123. The reversal of 120011010002120 is 21200010110021.

It can be written as a sum of positive squares in 4 ways, for example, as 110562406997956 + 9448603004164 = 10514866^2 + 3073858^2 .

It is a super-4 number, since 4×120011010002120⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (120011010002123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148169282 + ... + 148977038.

Almost surely, 2^{120011010002120} is an apocalyptic number.

120011010002120 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 120011010002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142506322263900).

120011010002120 is an abundant number, since it is smaller than the sum of its proper divisors (165001634525680).

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

120011010002120 is a wasteful number, since it uses less digits than its factorization.

120011010002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818095 (or 818072 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120011010002120 its reverse (21200010110021), we get a palindrome (141211020112141).

The spelling of 120011010002120 in words is "one hundred twenty trillion, eleven billion, ten million, two thousand, one hundred twenty".