12171119400 has 576 divisors, whose sum is σ = 48650904000. Its totient is φ = 2773094400.

The previous prime is 12171119377. The next prime is 12171119413. The reversal of 12171119400 is 491117121.

It is a super-2 number, since 2×12171119400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17166246 + ... + 17166954.

It is an arithmetic number, because the mean of its divisors is an integer number (84463375).

Almost surely, 2^12171119400 is an apocalyptic number.

12171119400 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 12171119400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24325452000).

12171119400 is an abundant number, since it is smaller than the sum of its proper divisors (36479784600).

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

12171119400 is a wasteful number, since it uses less digits than its factorization.

12171119400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 12171119400 in words is "twelve billion, one hundred seventy-one million, one hundred nineteen thousand, four hundred".