126220320 has 288 divisors, whose sum is σ = 466083072. Its totient is φ = 31021056.

The previous prime is 126220301. The next prime is 126220349. The reversal of 126220320 is 23022621.

126220320 is a `hidden beast` number, since 12 + 622 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 126220293 and 126220302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1225389 + ... + 1225491.

It is an arithmetic number, because the mean of its divisors is an integer number (1618344).

Almost surely, 2^126220320 is an apocalyptic number.

126220320 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 126220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233041536).

126220320 is an abundant number, since it is smaller than the sum of its proper divisors (339862752).

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

126220320 is a wasteful number, since it uses less digits than its factorization.

126220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

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

The square root of 126220320 is about 11234.7817068246. The cubic root of 126220320 is about 501.6218269998.

Adding to 126220320 its reverse (23022621), we get a palindrome (149242941).

The spelling of 126220320 in words is "one hundred twenty-six million, two hundred twenty thousand, three hundred twenty".