1064728212912 has 720 divisors, whose sum is σ = 3832824183552. Its totient is φ = 279001013760.

The previous prime is 1064728212907. The next prime is 1064728212917. The reversal of 1064728212912 is 2192128274601.

1064728212912 is a `hidden beast` number, since 1 + 0 + 6 + 472 + 82 + 12 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1064728212907) and next prime (1064728212917).

It is a super-2 number, since 2×1064728212912² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064728212917) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2168488987 + ... + 2168489477.

Almost surely, 2^{1064728212912} is an apocalyptic number.

1064728212912 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 1064728212912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916412091776).

1064728212912 is an abundant number, since it is smaller than the sum of its proper divisors (2768095970640).

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

1064728212912 is an equidigital number, since it uses as much as digits as its factorization.

1064728212912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1064728212912 in words is "one trillion, sixty-four billion, seven hundred twenty-eight million, two hundred twelve thousand, nine hundred twelve".