1117412478100 has 72 divisors (see below), whose sum is σ = 2481909946208. Its totient is φ = 436441219200.

The previous prime is 1117412478053. The next prime is 1117412478131. The reversal of 1117412478100 is 18742147111.

It is a happy number.

It is a super-2 number, since 2×1117412478100² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1117412478100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15189607 + ... + 15262993.

Almost surely, 2^{1117412478100} is an apocalyptic number.

1117412478100 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 1117412478100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240954973104).

1117412478100 is an abundant number, since it is smaller than the sum of its proper divisors (1364497468108).

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

1117412478100 is a wasteful number, since it uses less digits than its factorization.

1117412478100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76985 (or 76978 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 37.

The spelling of 1117412478100 in words is "one trillion, one hundred seventeen billion, four hundred twelve million, four hundred seventy-eight thousand, one hundred".