126202050 has 288 divisors, whose sum is σ = 409473792. Its totient is φ = 28615680.

The previous prime is 126202049. The next prime is 126202051. The reversal of 126202050 is 50202621.

It is an interprime number because it is at equal distance from previous prime (126202049) and next prime (126202051).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126202051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2685127 + ... + 2685173.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^126202050 is an apocalyptic number.

126202050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126202050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

126202050 is an abundant number, since it is smaller than the sum of its proper divisors (283271742).

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

126202050 is a wasteful number, since it uses less digits than its factorization.

126202050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 126202050 is about 11233.9685774885. The cubic root of 126202050 is about 501.5976230972.

Adding to 126202050 its reverse (50202621), we get a palindrome (176404671).

The spelling of 126202050 in words is "one hundred twenty-six million, two hundred two thousand, fifty".