1222759549440 has 2560 divisors, whose sum is σ = 5702035046400. Its totient is φ = 243337789440.

The previous prime is 1222759549411. The next prime is 1222759549441. The reversal of 1222759549440 is 449459572221.

1222759549440 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 7 + 59 + 549 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1222759549441) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 3192583489 + ... + 3192583871.

It is an arithmetic number, because the mean of its divisors is an integer number (2227357440).

Almost surely, 2^{1222759549440} is an apocalyptic number.

1222759549440 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 1222759549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851017523200).

1222759549440 is an abundant number, since it is smaller than the sum of its proper divisors (4479275496960).

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

1222759549440 is a wasteful number, since it uses less digits than its factorization.

1222759549440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1222759549440 in words is "one trillion, two hundred twenty-two billion, seven hundred fifty-nine million, five hundred forty-nine thousand, four hundred forty".