120210332010120 has 1536 divisors, whose sum is σ = 470007982080000. Its totient is φ = 26330108313600.

The previous prime is 120210332010113. The next prime is 120210332010127. The reversal of 120210332010120 is 21010233012021.

120210332010120 is a `hidden beast` number, since 1 + 2 + 0 + 210 + 3 + 320 + 10 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (120210332010113) and next prime (120210332010127).

It is a super-3 number, since 3×120210332010120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 120210332010093 and 120210332010102.

It is not an unprimeable number, because it can be changed into a prime (120210332010127) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25101340686 + ... + 25101345474.

It is an arithmetic number, because the mean of its divisors is an integer number (305994780000).

Almost surely, 2^{120210332010120} is an apocalyptic number.

120210332010120 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 120210332010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235003991040000).

120210332010120 is an abundant number, since it is smaller than the sum of its proper divisors (349797650069880).

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

120210332010120 is a wasteful number, since it uses less digits than its factorization.

120210332010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5052 counting only the distinct ones).

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

Adding to 120210332010120 its reverse (21010233012021), we get a palindrome (141220565022141).

The spelling of 120210332010120 in words is "one hundred twenty trillion, two hundred ten billion, three hundred thirty-two million, ten thousand, one hundred twenty".