126221400 has 72 divisors (see below), whose sum is σ = 423899580. Its totient is φ = 33658560.

The previous prime is 126221399. The next prime is 126221437. The reversal of 126221400 is 4122621.

126221400 is a `hidden beast` number, since 1 + 2 + 622 + 1 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33262 + ... + 36861.

Almost surely, 2^126221400 is an apocalyptic number.

126221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126221400 is an abundant number, since it is smaller than the sum of its proper divisors (297678180).

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

126221400 is a wasteful number, since it uses less digits than its factorization.

126221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70145 (or 70133 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 126221400 is about 11234.8297717411. The cubic root of 126221400 is about 501.6232576992.

It can be divided in two parts, 126221 and 400, that added together give a palindrome (126621).

The spelling of 126221400 in words is "one hundred twenty-six million, two hundred twenty-one thousand, four hundred".