12221579606040 has 576 divisors, whose sum is σ = 48381753288960. Its totient is φ = 2766371408640.

The previous prime is 12221579606011. The next prime is 12221579606129. The reversal of 12221579606040 is 4060697512221.

12221579606040 is a `hidden beast` number, since 1 + 2 + 22 + 15 + 7 + 9 + 6 + 0 + 604 + 0 = 666.

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

It is a congruent number.

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, 48932275 + ... + 49181405.

It is an arithmetic number, because the mean of its divisors is an integer number (83996099460).

Almost surely, 2^{12221579606040} is an apocalyptic number.

12221579606040 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 12221579606040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24190876644480).

12221579606040 is an abundant number, since it is smaller than the sum of its proper divisors (36160173682920).

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

12221579606040 is a wasteful number, since it uses less digits than its factorization.

12221579606040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249274 (or 249251 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12221579606040 in words is "twelve trillion, two hundred twenty-one billion, five hundred seventy-nine million, six hundred six thousand, forty".