120891331008 has 560 divisors, whose sum is σ = 437711169280. Its totient is φ = 32221753344.

The previous prime is 120891331007. The next prime is 120891331031. The reversal of 120891331008 is 800133198021.

It is a super-2 number, since 2×120891331008² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120891331007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46193316 + ... + 46195932.

It is an arithmetic number, because the mean of its divisors is an integer number (781627088).

Almost surely, 2^120891331008 is an apocalyptic number.

120891331008 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 120891331008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218855584640).

120891331008 is an abundant number, since it is smaller than the sum of its proper divisors (316819838272).

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

120891331008 is a wasteful number, since it uses less digits than its factorization.

120891331008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 120891331008 in words is "one hundred twenty billion, eight hundred ninety-one million, three hundred thirty-one thousand, eight".