1123762840200 has 2592 divisors, whose sum is σ = 5364959745600. Its totient is φ = 205058304000.

The previous prime is 1123762840199. The next prime is 1123762840267. The reversal of 1123762840200 is 20482673211.

It is a happy number.

1123762840200 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 7 + 628 + 4 + 0 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 19046827771 + ... + 19046827829.

Almost surely, 2^{1123762840200} is an apocalyptic number.

1123762840200 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 1123762840200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682479872800).

1123762840200 is an abundant number, since it is smaller than the sum of its proper divisors (4241196905400).

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

1123762840200 is a wasteful number, since it uses less digits than its factorization.

1123762840200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1123762840200 in words is "one trillion, one hundred twenty-three billion, seven hundred sixty-two million, eight hundred forty thousand, two hundred".