1223785013760 has 800 divisors, whose sum is σ = 4457970475200. Its totient is φ = 322163785728.

The previous prime is 1223785013753. The next prime is 1223785013761. The reversal of 1223785013760 is 673105873221.

1223785013760 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 78 + 501 + 3 + 76 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1223785013761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7507883439 + ... + 7507883601.

It is an arithmetic number, because the mean of its divisors is an integer number (5572463094).

Almost surely, 2^{1223785013760} is an apocalyptic number.

1223785013760 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 1223785013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228985237600).

1223785013760 is an abundant number, since it is smaller than the sum of its proper divisors (3234185461440).

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

1223785013760 is an frugal number, since it uses more digits than its factorization.

1223785013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1223785013760 in words is "one trillion, two hundred twenty-three billion, seven hundred eighty-five million, thirteen thousand, seven hundred sixty".