120210203013120 has 1248 divisors, whose sum is σ = 467733014184384. Its totient is φ = 28300227379200.

The previous prime is 120210203013079. The next prime is 120210203013191. The reversal of 120210203013120 is 21310302012021.

120210203013120 is a `hidden beast` number, since 1 + 20 + 2 + 10 + 20 + 301 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120210203013093 and 120210203013102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50487274330 + ... + 50487276710.

It is an arithmetic number, because the mean of its divisors is an integer number (374786069058).

Almost surely, 2^{120210203013120} is an apocalyptic number.

120210203013120 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 120210203013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233866507092192).

120210203013120 is an abundant number, since it is smaller than the sum of its proper divisors (347522811171264).

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

120210203013120 is a wasteful number, since it uses less digits than its factorization.

120210203013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120210203013120 its reverse (21310302012021), we get a palindrome (141520505025141).

The spelling of 120210203013120 in words is "one hundred twenty trillion, two hundred ten billion, two hundred three million, thirteen thousand, one hundred twenty".