1279112150400 has 1296 divisors, whose sum is σ = 5260397838660. Its totient is φ = 272333537280.

The previous prime is 1279112150389. The next prime is 1279112150419. The reversal of 1279112150400 is 40512119721.

It is a super-2 number, since 2×1279112150400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 13186723152 + ... + 13186723248.

Almost surely, 2^{1279112150400} is an apocalyptic number.

1279112150400 is a gapful number since it is divisible by the number (10) 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 1279112150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630198919330).

1279112150400 is an abundant number, since it is smaller than the sum of its proper divisors (3981285688260).

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

1279112150400 is an equidigital number, since it uses as much as digits as its factorization.

1279112150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 1279112150400 in words is "one trillion, two hundred seventy-nine billion, one hundred twelve million, one hundred fifty thousand, four hundred".