126450335979000 has 2240 divisors, whose sum is σ = 515077311696480. Its totient is φ = 29041225488000.

The previous prime is 126450335978987. The next prime is 126450335979017. The reversal of 126450335979000 is 979533054621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

126450335979000 is a `hidden beast` number, since 1 + 2 + 6 + 45 + 0 + 3 + 3 + 597 + 9 + 0 + 0 + 0 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 126450335979000 = 6270³ + 50160³ = 28215³ + 47025³.

It is a congruent number.

It is an unprimeable number.

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 559 ways as a sum of consecutive naturals, for example, 6655280840991 + ... + 6655280841009.

Almost surely, 2^{126450335979000} is an apocalyptic number.

126450335979000 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 126450335979000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257538655848240).

126450335979000 is an abundant number, since it is smaller than the sum of its proper divisors (388626975717480).

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

126450335979000 is an frugal number, since it uses more digits than its factorization.

126450335979000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 126450335979000 in words is "one hundred twenty-six trillion, four hundred fifty billion, three hundred thirty-five million, nine hundred seventy-nine thousand".