120762144 has 192 divisors, whose sum is σ = 377395200. Its totient is φ = 37483776.

The previous prime is 120762139. The next prime is 120762149. The reversal of 120762144 is 441267021.

It is an interprime number because it is at equal distance from previous prime (120762139) and next prime (120762149).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120762149) 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 31 ways as a sum of consecutive naturals, for example, 1172397 + ... + 1172499.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^120762144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120762144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

120762144 is an abundant number, since it is smaller than the sum of its proper divisors (256633056).

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

120762144 is a wasteful number, since it uses less digits than its factorization.

120762144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 120762144 is about 10989.1830451585. The cubic root of 120762144 is about 494.2844390103.

The spelling of 120762144 in words is "one hundred twenty million, seven hundred sixty-two thousand, one hundred forty-four".