126821700 has 216 divisors, whose sum is σ = 437909472. Its totient is φ = 31726080.

The previous prime is 126821689. The next prime is 126821741. The reversal of 126821700 is 7128621.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 412947 + ... + 413253.

Almost surely, 2^126821700 is an apocalyptic number.

126821700 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 126821700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218954736).

126821700 is an abundant number, since it is smaller than the sum of its proper divisors (311087772).

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

126821700 is a wasteful number, since it uses less digits than its factorization.

126821700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 126821700 is about 11261.5141077921. The cubic root of 126821700 is about 502.4172285142.

The spelling of 126821700 in words is "one hundred twenty-six million, eight hundred twenty-one thousand, seven hundred".