126035056000 has 384 divisors, whose sum is σ = 383744930400. Its totient is φ = 40932864000.

The previous prime is 126035055961. The next prime is 126035056009. The reversal of 126035056000 is 650530621.

126035056000 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 126035056000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126035056009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14891770 + ... + 14900230.

Almost surely, 2^126035056000 is an apocalyptic number.

126035056000 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 126035056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191872465200).

126035056000 is an abundant number, since it is smaller than the sum of its proper divisors (257709874400).

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

126035056000 is an equidigital number, since it uses as much as digits as its factorization.

126035056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8523 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 126035056000 its reverse (650530621), we get a palindrome (126685586621).

The spelling of 126035056000 in words is "one hundred twenty-six billion, thirty-five million, fifty-six thousand".