120110020112178 has 256 divisors, whose sum is σ = 281778352128000. Its totient is φ = 37850706432000.

The previous prime is 120110020112177. The next prime is 120110020112281. The reversal of 120110020112178 is 871211020011021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120110020112171) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27353680363 + ... + 27353684753.

It is an arithmetic number, because the mean of its divisors is an integer number (1100696688000).

Almost surely, 2^{120110020112178} is an apocalyptic number.

120110020112178 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120110020112178, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140889176064000).

120110020112178 is an abundant number, since it is smaller than the sum of its proper divisors (161668332015822).

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

120110020112178 is a wasteful number, since it uses less digits than its factorization.

120110020112178 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 27.

Adding to 120110020112178 its reverse (871211020011021), we get a palindrome (991321040123199).

The spelling of 120110020112178 in words is "one hundred twenty trillion, one hundred ten billion, twenty million, one hundred twelve thousand, one hundred seventy-eight".