126469120 has 88 divisors (see below), whose sum is σ = 321444504. Its totient is φ = 47579136.

The previous prime is 126469117. The next prime is 126469121. The reversal of 126469120 is 21964621.

It can be written as a sum of positive squares in 4 ways, for example, as 62980096 + 63489024 = 7936^2 + 7968^2 .

It is not an unprimeable number, because it can be changed into a prime (126469121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86314 + ... + 87766.

Almost surely, 2^126469120 is an apocalyptic number.

126469120 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 126469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160722252).

126469120 is an abundant number, since it is smaller than the sum of its proper divisors (194975384).

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

126469120 is a wasteful number, since it uses less digits than its factorization.

126469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 126469120 is about 11245.8490119688. The cubic root of 126469120 is about 501.9512023804.

The spelling of 126469120 in words is "one hundred twenty-six million, four hundred sixty-nine thousand, one hundred twenty".