126253400000 has 504 divisors, whose sum is σ = 392690616192. Its totient is φ = 39916800000.

The previous prime is 126253399997. The next prime is 126253400023. The reversal of 126253400000 is 4352621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127399505 + ... + 127400495.

It is an arithmetic number, because the mean of its divisors is an integer number (779148048).

Almost surely, 2^126253400000 is an apocalyptic number.

126253400000 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 126253400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196345308096).

126253400000 is an abundant number, since it is smaller than the sum of its proper divisors (266437216192).

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

126253400000 is an frugal number, since it uses more digits than its factorization.

126253400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 126253400000 its reverse (4352621), we get a palindrome (126257752621).

The spelling of 126253400000 in words is "one hundred twenty-six billion, two hundred fifty-three million, four hundred thousand".