1276543212672 has 1024 divisors, whose sum is σ = 4612473815040. Its totient is φ = 303216721920.

The previous prime is 1276543212661. The next prime is 1276543212683. The reversal of 1276543212672 is 2762123456721.

It is an interprime number because it is at equal distance from previous prime (1276543212661) and next prime (1276543212683).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1896794928 + ... + 1896795600.

It is an arithmetic number, because the mean of its divisors is an integer number (4504368960).

Almost surely, 2^{1276543212672} is an apocalyptic number.

1276543212672 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 1276543212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306236907520).

1276543212672 is an abundant number, since it is smaller than the sum of its proper divisors (3335930602368).

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

1276543212672 is a wasteful number, since it uses less digits than its factorization.

1276543212672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 849 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The spelling of 1276543212672 in words is "one trillion, two hundred seventy-six billion, five hundred forty-three million, two hundred twelve thousand, six hundred seventy-two".