126669312 has 480 divisors, whose sum is σ = 503807040. Its totient is φ = 30965760.

The previous prime is 126669287. The next prime is 126669331. The reversal of 126669312 is 213966621.

It is a happy number.

It is a super-3 number, since 3×126669312³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7451128 + ... + 7451144.

It is an arithmetic number, because the mean of its divisors is an integer number (1049598).

Almost surely, 2^126669312 is an apocalyptic number.

126669312 is a gapful number since it is divisible by the number (12) 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 126669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251903520).

126669312 is an abundant number, since it is smaller than the sum of its proper divisors (377137728).

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

126669312 is a wasteful number, since it uses less digits than its factorization.

126669312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 126669312 is about 11254.7461988265. The cubic root of 126669312 is about 502.2159142735.

The spelling of 126669312 in words is "one hundred twenty-six million, six hundred sixty-nine thousand, three hundred twelve".