1224205011040 has 192 divisors, whose sum is σ = 3245458466880. Its totient is φ = 432455639040.

The previous prime is 1224205011019. The next prime is 1224205011089. The reversal of 1224205011040 is 401105024221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42508966 + ... + 42537754.

It is an arithmetic number, because the mean of its divisors is an integer number (16903429515).

Almost surely, 2^{1224205011040} is an apocalyptic number.

1224205011040 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 1224205011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622729233440).

1224205011040 is an abundant number, since it is smaller than the sum of its proper divisors (2021253455840).

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

1224205011040 is a wasteful number, since it uses less digits than its factorization.

1224205011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29505 (or 29497 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The spelling of 1224205011040 in words is "one trillion, two hundred twenty-four billion, two hundred five million, eleven thousand, forty".