1221600061221 has 8 divisors (see below), whose sum is σ = 1639731626400. Its totient is φ = 808934268432.

The previous prime is 1221600061147. The next prime is 1221600061291.

1221600061221 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1221600061221 - 2¹³ = 1221600053029 is a prime.

It is a super-3 number, since 3×1221600061221³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221600061191 and 1221600061200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221600061291) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1366442575 + ... + 1366443468.

It is an arithmetic number, because the mean of its divisors is an integer number (204966453300).

Almost surely, 2^{1221600061221} is an apocalyptic number.

It is an amenable number.

1221600061221 is a deficient number, since it is larger than the sum of its proper divisors (418131565179).

1221600061221 is a wasteful number, since it uses less digits than its factorization.

1221600061221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732886195.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 12216000 and 61221, that added together give a palindrome (12277221).

The spelling of 1221600061221 in words is "one trillion, two hundred twenty-one billion, six hundred million, sixty-one thousand, two hundred twenty-one".