126223920 has 240 divisors, whose sum is σ = 452804352. Its totient is φ = 32659200.

The previous prime is 126223907. The next prime is 126223939. The reversal of 126223920 is 29322621.

126223920 is a `hidden beast` number, since 1 + 2 + 622 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

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, 835845 + ... + 835995.

Almost surely, 2^126223920 is an apocalyptic number.

126223920 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 126223920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226402176).

126223920 is an abundant number, since it is smaller than the sum of its proper divisors (326580432).

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

126223920 is a wasteful number, since it uses less digits than its factorization.

126223920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 126223920 is about 11234.9419224133. The cubic root of 126223920 is about 501.6265959662.

The spelling of 126223920 in words is "one hundred twenty-six million, two hundred twenty-three thousand, nine hundred twenty".