1224390601728 has 352 divisors, whose sum is σ = 4245162270720. Its totient is φ = 341291335680.

The previous prime is 1224390601727. The next prime is 1224390601729. The reversal of 1224390601728 is 8271060934221.

1224390601728 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 39 + 0 + 601 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1224390601727) and next prime (1224390601729).

It is not an unprimeable number, because it can be changed into a prime (1224390601727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7857825 + ... + 8012127.

Almost surely, 2^{1224390601728} is an apocalyptic number.

1224390601728 is a gapful number since it is divisible by the number (18) 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 1224390601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122581135360).

1224390601728 is an abundant number, since it is smaller than the sum of its proper divisors (3020771668992).

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

1224390601728 is a wasteful number, since it uses less digits than its factorization.

1224390601728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154380 (or 154356 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1224390601728 in words is "one trillion, two hundred twenty-four billion, three hundred ninety million, six hundred one thousand, seven hundred twenty-eight".