126120384 has 84 divisors (see below), whose sum is σ = 389332216. Its totient is φ = 38803968.

The previous prime is 126120377. The next prime is 126120389. The reversal of 126120384 is 483021621.

126120384 is a `hidden beast` number, since 1 + 261 + 20 + 384 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126120389) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 934 + ... + 15909.

Almost surely, 2^126120384 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 126120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194666108).

126120384 is an abundant number, since it is smaller than the sum of its proper divisors (263211832).

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

126120384 is a wasteful number, since it uses less digits than its factorization.

126120384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16874 (or 16861 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 126120384 is about 11230.3332096603. Note that the first 3 decimals coincide. The cubic root of 126120384 is about 501.4894042778.

The spelling of 126120384 in words is "one hundred twenty-six million, one hundred twenty thousand, three hundred eighty-four".