120140531028 has 216 divisors, whose sum is σ = 366097422600. Its totient is φ = 33083721216.

The previous prime is 120140530943. The next prime is 120140531053. The reversal of 120140531028 is 820135041021.

120140531028 is a `hidden beast` number, since 1 + 201 + 405 + 31 + 0 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22785298704 + 97355232324 = 150948^2 + 312018^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120140530992 and 120140531010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34630878 + ... + 34634346.

It is an arithmetic number, because the mean of its divisors is an integer number (1694895475).

Almost surely, 2^120140531028 is an apocalyptic number.

120140531028 is a gapful number since it is divisible by the number (18) 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 120140531028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183048711300).

120140531028 is an abundant number, since it is smaller than the sum of its proper divisors (245956891572).

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

120140531028 is a wasteful number, since it uses less digits than its factorization.

120140531028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 120140531028 its reverse (820135041021), we get a palindrome (940275572049).

The spelling of 120140531028 in words is "one hundred twenty billion, one hundred forty million, five hundred thirty-one thousand, twenty-eight".