1181403980100 has 216 divisors, whose sum is σ = 3804540634440. Its totient is φ = 306412554240.

The previous prime is 1181403980059. The next prime is 1181403980117. The reversal of 1181403980100 is 10893041811.

1181403980100 is a `hidden beast` number, since 118 + 140 + 398 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 69155324676 + 1112248655424 = 262974^2 + 1054632^2 .

It is a super-2 number, since 2×1181403980100² (a number of 25 digits) contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 125502994 + ... + 125512406.

Almost surely, 2^{1181403980100} is an apocalyptic number.

1181403980100 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 1181403980100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902270317220).

1181403980100 is an abundant number, since it is smaller than the sum of its proper divisors (2623136654340).

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

1181403980100 is a wasteful number, since it uses less digits than its factorization.

1181403980100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13239 (or 13229 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 1181403980100 in words is "one trillion, one hundred eighty-one billion, four hundred three million, nine hundred eighty thousand, one hundred".