12205295178120 has 320 divisors, whose sum is σ = 44757685684800. Its totient is φ = 2958533061120.

The previous prime is 12205295178091. The next prime is 12205295178121. The reversal of 12205295178120 is 2187159250221.

It is a happy number.

12205295178120 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 5 + 2 + 9 + 517 + 8 + 120 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12205295178121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 538402146 + ... + 538424814.

It is an arithmetic number, because the mean of its divisors is an integer number (139867767765).

Almost surely, 2^{12205295178120} is an apocalyptic number.

12205295178120 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 12205295178120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22378842842400).

12205295178120 is an abundant number, since it is smaller than the sum of its proper divisors (32552390506680).

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

12205295178120 is a wasteful number, since it uses less digits than its factorization.

12205295178120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37810 (or 37797 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 12205295178120 in words is "twelve trillion, two hundred five billion, two hundred ninety-five million, one hundred seventy-eight thousand, one hundred twenty".