126209945862400 has 405 divisors, whose sum is σ = 330594016753511. Its totient is φ = 47703978455040.

The previous prime is 126209945862383. The next prime is 126209945862499. The reversal of 126209945862400 is 4268549902621.

It is a happy number.

The square root of 126209945862400 is 11234320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20979771015424 + 105230174846976 = 4580368^2 + 10258176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 324447161406 + ... + 324447161794.

Almost surely, 2^{126209945862400} is an apocalyptic number.

126209945862400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126209945862400 is the 11234320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126209945862400

126209945862400 is an abundant number, since it is smaller than the sum of its proper divisors (204384070891111).

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

126209945862400 is an frugal number, since it uses more digits than its factorization.

126209945862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 126209945862400 in words is "one hundred twenty-six trillion, two hundred nine billion, nine hundred forty-five million, eight hundred sixty-two thousand, four hundred".