126346405312512 has 2688 divisors, whose sum is σ = 493176575324160. Its totient is φ = 31650236006400.

The previous prime is 126346405312427. The next prime is 126346405312597. The reversal of 126346405312512 is 215213504643621.

126346405312512 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 4 + 64 + 0 + 531 + 2 + 51 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (126346405312427) and next prime (126346405312597).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 431216400238 + ... + 431216400530.

It is an arithmetic number, because the mean of its divisors is an integer number (183473428320).

Almost surely, 2^{126346405312512} is an apocalyptic number.

126346405312512 is a gapful number since it is divisible by the number (12) 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 126346405312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246588287662080).

126346405312512 is an abundant number, since it is smaller than the sum of its proper divisors (366830170011648).

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

126346405312512 is an frugal number, since it uses more digits than its factorization.

126346405312512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 126346405312512 in words is "one hundred twenty-six trillion, three hundred forty-six billion, four hundred five million, three hundred twelve thousand, five hundred twelve".