120831828480 has 960 divisors, whose sum is σ = 501897876480. Its totient is φ = 26519961600.

The previous prime is 120831828479. The next prime is 120831828511. The reversal of 120831828480 is 84828138021.

It is a happy number.

120831828480 is a `hidden beast` number, since 12 + 0 + 83 + 1 + 82 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×120831828480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110752735 + ... + 110753825.

It is an arithmetic number, because the mean of its divisors is an integer number (522810288).

Almost surely, 2^120831828480 is an apocalyptic number.

120831828480 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 120831828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250948938240).

120831828480 is an abundant number, since it is smaller than the sum of its proper divisors (381066048000).

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

120831828480 is a wasteful number, since it uses less digits than its factorization.

120831828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 120831828480 in words is "one hundred twenty billion, eight hundred thirty-one million, eight hundred twenty-eight thousand, four hundred eighty".