1123856332020 has 288 divisors, whose sum is σ = 3527823106080. Its totient is φ = 289384427520.

The previous prime is 1123856332007. The next prime is 1123856332037. The reversal of 1123856332020 is 202336583211.

1123856332020 is a `hidden beast` number, since 1 + 12 + 3 + 8 + 5 + 633 + 2 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4166444304 + 1119689887716 = 64548^2 + 1058154^2 .

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 524920150 + ... + 524922290.

It is an arithmetic number, because the mean of its divisors is an integer number (12249385785).

Almost surely, 2^{1123856332020} is an apocalyptic number.

1123856332020 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 1123856332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763911553040).

1123856332020 is an abundant number, since it is smaller than the sum of its proper divisors (2403966774060).

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

1123856332020 is a wasteful number, since it uses less digits than its factorization.

1123856332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1123856332020 in words is "one trillion, one hundred twenty-three billion, eight hundred fifty-six million, three hundred thirty-two thousand, twenty".