12221341042410 has 160 divisors (see below), whose sum is σ = 33147874805760. Its totient is φ = 3230698359168.

The previous prime is 12221341042373. The next prime is 12221341042429. The reversal of 12221341042410 is 1424014312221.

12221341042410 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 3 + 410 + 4 + 241 + 0 = 666.

It is a super-2 number, since 2×12221341042410² (a number of 27 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 126378897 + ... + 126475563.

It is an arithmetic number, because the mean of its divisors is an integer number (207174217536).

Almost surely, 2^{12221341042410} is an apocalyptic number.

12221341042410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221341042410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16573937402880).

12221341042410 is an abundant number, since it is smaller than the sum of its proper divisors (20926533763350).

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

12221341042410 is a wasteful number, since it uses less digits than its factorization.

12221341042410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98042 (or 98033 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12221341042410 its reverse (1424014312221), we get a palindrome (13645355354631).

The spelling of 12221341042410 in words is "twelve trillion, two hundred twenty-one billion, three hundred forty-one million, forty-two thousand, four hundred ten".