126905246385120 has 384 divisors, whose sum is σ = 517198746516480. Its totient is φ = 28459612846080.

The previous prime is 126905246385109. The next prime is 126905246385121. The reversal of 126905246385120 is 21583642509621.

126905246385120 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 0 + 5 + 246 + 385 + 12 + 0 = 666.

It is a super-2 number, since 2×126905246385120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126905246385121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37987866 + ... + 41193305.

It is an arithmetic number, because the mean of its divisors is an integer number (1346871735720).

Almost surely, 2^{126905246385120} is an apocalyptic number.

126905246385120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126905246385120 is an abundant number, since it is smaller than the sum of its proper divisors (390293500131360).

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

126905246385120 is a wasteful number, since it uses less digits than its factorization.

126905246385120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79181255 (or 79181241 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 126905246385120 in words is "one hundred twenty-six trillion, nine hundred five billion, two hundred forty-six million, three hundred eighty-five thousand, one hundred twenty".