126223020 has 216 divisors, whose sum is σ = 486250128. Its totient is φ = 26208000.

The previous prime is 126223001. The next prime is 126223037. The reversal of 126223020 is 20322621.

126223020 is a `hidden beast` number, since 12 + 622 + 30 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126222984 and 126223002.

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 71 ways as a sum of consecutive naturals, for example, 96370 + ... + 97670.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^126223020 is an apocalyptic number.

126223020 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 126223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

126223020 is an abundant number, since it is smaller than the sum of its proper divisors (360027108).

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

126223020 is a wasteful number, since it uses less digits than its factorization.

126223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 126223020 is about 11234.9018687303. The cubic root of 126223020 is about 501.6254037331.

Adding to 126223020 its reverse (20322621), we get a palindrome (146545641).

The spelling of 126223020 in words is "one hundred twenty-six million, two hundred twenty-three thousand, twenty".