1123679908800 has 336 divisors, whose sum is σ = 4123380729600. Its totient is φ = 297661824000.

The previous prime is 1123679908787. The next prime is 1123679908811. The reversal of 1123679908800 is 88099763211.

1123679908800 is a `hidden beast` number, since 112 + 367 + 9 + 90 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6437071 + ... + 6609329.

Almost surely, 2^{1123679908800} is an apocalyptic number.

1123679908800 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 1123679908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061690364800).

1123679908800 is an abundant number, since it is smaller than the sum of its proper divisors (2999700820800).

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

1123679908800 is a wasteful number, since it uses less digits than its factorization.

1123679908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172441 (or 172420 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1123679908800 in words is "one trillion, one hundred twenty-three billion, six hundred seventy-nine million, nine hundred eight thousand, eight hundred".