120954960 has 240 divisors, whose sum is σ = 470755584. Its totient is φ = 27260928.

The previous prime is 120954943. The next prime is 120954989. The reversal of 120954960 is 69459021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×120954960³ (a number of 25 digits) contains 333 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 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 47 ways as a sum of consecutive naturals, for example, 519004 + ... + 519236.

Almost surely, 2^120954960 is an apocalyptic number.

120954960 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 120954960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235377792).

120954960 is an abundant number, since it is smaller than the sum of its proper divisors (349800624).

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

120954960 is a wasteful number, since it uses less digits than its factorization.

120954960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 120954960 is about 10997.9525367225. The cubic root of 120954960 is about 494.5473670728.

It can be divided in two parts, 1209 and 54960, that added together give a square (56169 = 237²).

The spelling of 120954960 in words is "one hundred twenty million, nine hundred fifty-four thousand, nine hundred sixty".