126822600 has 72 divisors (see below), whose sum is σ = 425918610. Its totient is φ = 33818880.

The previous prime is 126822583. The next prime is 126822613. The reversal of 126822600 is 6228621.

It can be written as a sum of positive squares in 3 ways, for example, as 51236964 + 75585636 = 7158^2 + 8694^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×126822600³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 33429 + ... + 37028.

Almost surely, 2^126822600 is an apocalyptic number.

126822600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126822600 is an abundant number, since it is smaller than the sum of its proper divisors (299096010).

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

126822600 is a wasteful number, since it uses less digits than its factorization.

126822600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70479 (or 70467 counting only the distinct ones).

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

The square root of 126822600 is about 11261.5540668240. The cubic root of 126822600 is about 502.4184169922.

The spelling of 126822600 in words is "one hundred twenty-six million, eight hundred twenty-two thousand, six hundred".