1300406164512 has 288 divisors, whose sum is σ = 4341238263936. Its totient is φ = 331898757120.

The previous prime is 1300406164507. The next prime is 1300406164523. The reversal of 1300406164512 is 2154616040031.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8317848 + ... + 8472744.

It is an arithmetic number, because the mean of its divisors is an integer number (15073743972).

Almost surely, 2^{1300406164512} is an apocalyptic number.

1300406164512 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 1300406164512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170619131968).

1300406164512 is an abundant number, since it is smaller than the sum of its proper divisors (3040832099424).

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

1300406164512 is a wasteful number, since it uses less digits than its factorization.

1300406164512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154992 (or 154953 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 1300406164512 in words is "one trillion, three hundred billion, four hundred six million, one hundred sixty-four thousand, five hundred twelve".