126052420 has 96 divisors (see below), whose sum is σ = 301771008. Its totient is φ = 43878912.

The previous prime is 126052387. The next prime is 126052427. The reversal of 126052420 is 24250621.

It is a junction number, because it is equal to n+sod(n) for n = 126052391 and 126052400.

It is not an unprimeable number, because it can be changed into a prime (126052427) 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 31 ways as a sum of consecutive naturals, for example, 639762 + ... + 639958.

It is an arithmetic number, because the mean of its divisors is an integer number (3143448).

Almost surely, 2^126052420 is an apocalyptic number.

126052420 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 126052420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150885504).

126052420 is an abundant number, since it is smaller than the sum of its proper divisors (175718588).

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

126052420 is a wasteful number, since it uses less digits than its factorization.

126052420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 126052420 is about 11227.3068899002. The cubic root of 126052420 is about 501.3993068939.

The spelling of 126052420 in words is "one hundred twenty-six million, fifty-two thousand, four hundred twenty".