126125121408 has 256 divisors, whose sum is σ = 398346197760. Its totient is φ = 34853437440.

The previous prime is 126125121389. The next prime is 126125121487. The reversal of 126125121408 is 804121521621.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4543860 + ... + 4571532.

It is an arithmetic number, because the mean of its divisors is an integer number (1556039835).

Almost surely, 2^126125121408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126125121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199173098880).

126125121408 is an abundant number, since it is smaller than the sum of its proper divisors (272221076352).

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

126125121408 is a wasteful number, since it uses less digits than its factorization.

126125121408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27797 (or 27785 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 126125121408 in words is "one hundred twenty-six billion, one hundred twenty-five million, one hundred twenty-one thousand, four hundred eight".