126220416 has 64 divisors (see below), whose sum is σ = 383177280. Its totient is φ = 36062208.

The previous prime is 126220397. The next prime is 126220421. The reversal of 126220416 is 614022621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20791 + ... + 26166.

It is an arithmetic number, because the mean of its divisors is an integer number (5987145).

Almost surely, 2^126220416 is an apocalyptic number.

126220416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126220416 is an abundant number, since it is smaller than the sum of its proper divisors (256956864).

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

126220416 is an equidigital number, since it uses as much as digits as its factorization.

126220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46981 (or 46969 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 126220416 is about 11234.7859792699. The cubic root of 126220416 is about 501.6219541734.

The spelling of 126220416 in words is "one hundred twenty-six million, two hundred twenty thousand, four hundred sixteen".