1279121382 has 288 divisors, whose sum is σ = 3854148480. Its totient is φ = 313528320.

The previous prime is 1279121381. The next prime is 1279121419. The reversal of 1279121382 is 2831219721.

1279121382 is a `hidden beast` number, since 1 + 279 + 1 + 2 + 1 + 382 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1279121381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4976998 + ... + 4977254.

It is an arithmetic number, because the mean of its divisors is an integer number (13382460).

Almost surely, 2^1279121382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1279121382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927074240).

1279121382 is an abundant number, since it is smaller than the sum of its proper divisors (2575027098).

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

1279121382 is a wasteful number, since it uses less digits than its factorization.

1279121382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1279121382 is about 35764.8064722850. The cubic root of 1279121382 is about 1085.5185589218.

The spelling of 1279121382 in words is "one billion, two hundred seventy-nine million, one hundred twenty-one thousand, three hundred eighty-two".