120736980 has 378 divisors, whose sum is σ = 478845486. Its totient is φ = 25474176.

The previous prime is 120736969. The next prime is 120737003. The reversal of 120736980 is 89637021.

It can be written as a sum of positive squares in 3 ways, for example, as 571536 + 120165444 = 756^2 + 10962^2 .

It is a tau number, because it is divible by the number of its divisors (378).

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

It is a congruent number.

It is an unprimeable number.

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 125 ways as a sum of consecutive naturals, for example, 9287454 + ... + 9287466.

It is an arithmetic number, because the mean of its divisors is an integer number (1266787).

Almost surely, 2^120736980 is an apocalyptic number.

120736980 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 120736980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239422743).

120736980 is an abundant number, since it is smaller than the sum of its proper divisors (358108506).

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

120736980 is a wasteful number, since it uses less digits than its factorization.

120736980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 120736980 is about 10988.0380414340. The cubic root of 120736980 is about 494.2501041952.

The spelling of 120736980 in words is "one hundred twenty million, seven hundred thirty-six thousand, nine hundred eighty".