126002000 has 60 divisors (see below), whose sum is σ = 305891508. Its totient is φ = 50200000.

The previous prime is 126001987. The next prime is 126002039. The reversal of 126002000 is 200621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4032064 + 121969936 = 2008^2 + 11044^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 501875 + ... + 502125.

Almost surely, 2^126002000 is an apocalyptic number.

126002000 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 126002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152945754).

126002000 is an abundant number, since it is smaller than the sum of its proper divisors (179889508).

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

126002000 is an frugal number, since it uses more digits than its factorization.

126002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 126002000 is about 11225.0612470489. The cubic root of 126002000 is about 501.3324460210.

Adding to 126002000 its reverse (200621), we get a palindrome (126202621).

The spelling of 126002000 in words is "one hundred twenty-six million, two thousand".