126213120 has 352 divisors, whose sum is σ = 495210240. Its totient is φ = 30228480.

The previous prime is 126213119. The next prime is 126213149. The reversal of 126213120 is 21312621.

126213120 is a `hidden beast` number, since 12 + 621 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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 = 126213093 and 126213102.

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 31 ways as a sum of consecutive naturals, for example, 1520599 + ... + 1520681.

Almost surely, 2^126213120 is an apocalyptic number.

126213120 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 126213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247605120).

126213120 is an abundant number, since it is smaller than the sum of its proper divisors (368997120).

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

126213120 is a wasteful number, since it uses less digits than its factorization.

126213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 126213120 is about 11234.4612687926. The cubic root of 126213120 is about 501.6122887949.

Adding to 126213120 its reverse (21312621), we get a palindrome (147525741).

The spelling of 126213120 in words is "one hundred twenty-six million, two hundred thirteen thousand, one hundred twenty".