120993269760 has 864 divisors, whose sum is σ = 475496723520. Its totient is φ = 28213248000.

The previous prime is 120993269759. The next prime is 120993269767. The reversal of 120993269760 is 67962399021.

It is a super-2 number, since 2×120993269760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120993269697 and 120993269706.

It is not an unprimeable number, because it can be changed into a prime (120993269767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1704130525 + ... + 1704130595.

It is an arithmetic number, because the mean of its divisors is an integer number (550343430).

Almost surely, 2^120993269760 is an apocalyptic number.

120993269760 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 120993269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237748361760).

120993269760 is an abundant number, since it is smaller than the sum of its proper divisors (354503453760).

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

120993269760 is a wasteful number, since it uses less digits than its factorization.

120993269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 120993269760 in words is "one hundred twenty billion, nine hundred ninety-three million, two hundred sixty-nine thousand, seven hundred sixty".