12149222228352 has 192 divisors, whose sum is σ = 38147258223360. Its totient is φ = 3680775060480.

The previous prime is 12149222228347. The next prime is 12149222228383. The reversal of 12149222228352 is 25382222294121.

12149222228352 is a `hidden beast` number, since 1 + 2 + 14 + 92 + 222 + 283 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 12149222228298 and 12149222228307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58986733 + ... + 59192339.

It is an arithmetic number, because the mean of its divisors is an integer number (198683636580).

Almost surely, 2^{12149222228352} is an apocalyptic number.

12149222228352 is a gapful number since it is divisible by the number (12) 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 12149222228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19073629111680).

12149222228352 is an abundant number, since it is smaller than the sum of its proper divisors (25998035995008).

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

12149222228352 is a wasteful number, since it uses less digits than its factorization.

12149222228352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210301 (or 210286 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 12149222228352 in words is "twelve trillion, one hundred forty-nine billion, two hundred twenty-two million, two hundred twenty-eight thousand, three hundred fifty-two".