126201000 has 256 divisors, whose sum is σ = 431308800. Its totient is φ = 30624000.

The previous prime is 126200981. The next prime is 126201017. The reversal of 126201000 is 102621.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 2138971 + ... + 2139029.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 2^126201000 is an apocalyptic number.

126201000 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 126201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215654400).

126201000 is an abundant number, since it is smaller than the sum of its proper divisors (305107800).

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

126201000 is a wasteful number, since it uses less digits than its factorization.

126201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 126201000 is about 11233.9218441291. The cubic root of 126201000 is about 501.5962319973.

Adding to 126201000 its reverse (102621), we get a palindrome (126303621).

The spelling of 126201000 in words is "one hundred twenty-six million, two hundred one thousand".