1367131972512 has 96 divisors (see below), whose sum is σ = 3748112065152. Its totient is φ = 435506125824.

The previous prime is 1367131972469. The next prime is 1367131972513. The reversal of 1367131972512 is 2152791317631.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1367131972513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2189178 + ... + 2743494.

It is an arithmetic number, because the mean of its divisors is an integer number (39042834012).

Almost surely, 2^{1367131972512} is an apocalyptic number.

1367131972512 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 1367131972512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874056032576).

1367131972512 is an abundant number, since it is smaller than the sum of its proper divisors (2380980092640).

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

1367131972512 is a wasteful number, since it uses less digits than its factorization.

1367131972512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555470 (or 555462 counting only the distinct ones).

The product of its digits is 476280, while the sum is 48.

The spelling of 1367131972512 in words is "one trillion, three hundred sixty-seven billion, one hundred thirty-one million, nine hundred seventy-two thousand, five hundred twelve".