126300911742720 has 864 divisors, whose sum is σ = 519570419397120. Its totient is φ = 27922591088640.

The previous prime is 126300911742647. The next prime is 126300911742739. The reversal of 126300911742720 is 27247119003621.

126300911742720 is a `hidden beast` number, since 1 + 2 + 6 + 300 + 9 + 1 + 1 + 74 + 272 + 0 = 666.

126300911742720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136269021 + ... + 137192739.

It is an arithmetic number, because the mean of its divisors is an integer number (601354652080).

Almost surely, 2^{126300911742720} is an apocalyptic number.

126300911742720 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 126300911742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259785209698560).

126300911742720 is an abundant number, since it is smaller than the sum of its proper divisors (393269507654400).

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

126300911742720 is a wasteful number, since it uses less digits than its factorization.

126300911742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923853 (or 923836 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 126300911742720 in words is "one hundred twenty-six trillion, three hundred billion, nine hundred eleven million, seven hundred forty-two thousand, seven hundred twenty".