1223182507680 has 1536 divisors, whose sum is σ = 5486745600000. Its totient is φ = 253219405824.

The previous prime is 1223182507627. The next prime is 1223182507691. The reversal of 1223182507680 is 867052813221.

1223182507680 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 82 + 507 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 647528176 + ... + 647530064.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100000).

Almost surely, 2^{1223182507680} is an apocalyptic number.

1223182507680 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 1223182507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743372800000).

1223182507680 is an abundant number, since it is smaller than the sum of its proper divisors (4263563092320).

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

1223182507680 is a wasteful number, since it uses less digits than its factorization.

1223182507680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1223182507680 in words is "one trillion, two hundred twenty-three billion, one hundred eighty-two million, five hundred seven thousand, six hundred eighty".