1221456400505 has 32 divisors (see below), whose sum is σ = 1605220243200. Its totient is φ = 884878974720.

The previous prime is 1221456400457. The next prime is 1221456400511. The reversal of 1221456400505 is 5050046541221.

It is not a de Polignac number, because 1221456400505 - 2⁸ = 1221456400249 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24366527 + ... + 24416603.

It is an arithmetic number, because the mean of its divisors is an integer number (50163132600).

Almost surely, 2^{1221456400505} is an apocalyptic number.

It is an amenable number.

1221456400505 is a deficient number, since it is larger than the sum of its proper divisors (383763842695).

1221456400505 is a wasteful number, since it uses less digits than its factorization.

1221456400505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51809.

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 1221456400505 in words is "one trillion, two hundred twenty-one billion, four hundred fifty-six million, four hundred thousand, five hundred five".