1123851985200 has 960 divisors, whose sum is σ = 4731625728000. Its totient is φ = 253203148800.

The previous prime is 1123851985159. The next prime is 1123851985213. The reversal of 1123851985200 is 25891583211.

1123851985200 is a `hidden beast` number, since 1 + 1 + 2 + 38 + 5 + 1 + 98 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 263010264 + ... + 263014536.

It is an arithmetic number, because the mean of its divisors is an integer number (4928776800).

Almost surely, 2^{1123851985200} is an apocalyptic number.

1123851985200 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 1123851985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365812864000).

1123851985200 is an abundant number, since it is smaller than the sum of its proper divisors (3607773742800).

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

1123851985200 is a wasteful number, since it uses less digits than its factorization.

1123851985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1123851985200 in words is "one trillion, one hundred twenty-three billion, eight hundred fifty-one million, nine hundred eighty-five thousand, two hundred".