1124212078080 has 960 divisors, whose sum is σ = 5073994493568. Its totient is φ = 223236587520.

The previous prime is 1124212078061. The next prime is 1124212078123. The reversal of 1124212078080 is 808702124211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35627110 + ... + 35658650.

Almost surely, 2^{1124212078080} is an apocalyptic number.

1124212078080 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 1124212078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536997246784).

1124212078080 is an abundant number, since it is smaller than the sum of its proper divisors (3949782415488).

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

1124212078080 is a wasteful number, since it uses less digits than its factorization.

1124212078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31607 (or 31588 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 1124212078080 in words is "one trillion, one hundred twenty-four billion, two hundred twelve million, seventy-eight thousand, eighty".