126293022720 has 480 divisors, whose sum is σ = 463331428560. Its totient is φ = 32885637120.

The previous prime is 126293022719. The next prime is 126293022721. The reversal of 126293022720 is 27220392621.

126293022720 is a `hidden beast` number, since 1 + 2 + 629 + 3 + 0 + 2 + 2 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (126293022719) and next prime (126293022721).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126293022721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35664150 + ... + 35667690.

Almost surely, 2^126293022720 is an apocalyptic number.

126293022720 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 126293022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231665714280).

126293022720 is an abundant number, since it is smaller than the sum of its proper divisors (337038405840).

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

126293022720 is an equidigital number, since it uses as much as digits as its factorization.

126293022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 126293022720 in words is "one hundred twenty-six billion, two hundred ninety-three million, twenty-two thousand, seven hundred twenty".