120210013302030 has 512 divisors, whose sum is σ = 346448793600000. Its totient is φ = 29564578810368.

The previous prime is 120210013301981. The next prime is 120210013302053. The reversal of 120210013302030 is 30203310012021.

120210013302030 is a `hidden beast` number, since 1 + 202 + 100 + 1 + 330 + 2 + 0 + 30 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120210013301994 and 120210013302012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57270133921 + ... + 57270136019.

It is an arithmetic number, because the mean of its divisors is an integer number (676657800000).

Almost surely, 2^{120210013302030} is an apocalyptic number.

120210013302030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120210013302030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173224396800000).

120210013302030 is an abundant number, since it is smaller than the sum of its proper divisors (226238780297970).

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

120210013302030 is a wasteful number, since it uses less digits than its factorization.

120210013302030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120210013302030 its reverse (30203310012021), we get a palindrome (150413323314051).

The spelling of 120210013302030 in words is "one hundred twenty trillion, two hundred ten billion, thirteen million, three hundred two thousand, thirty".