1221514202016 has 72 divisors (see below), whose sum is σ = 3585735264384. Its totient is φ = 394036836480.

The previous prime is 1221514202009. The next prime is 1221514202017. The reversal of 1221514202016 is 6102024151221.

It is a happy number.

1221514202016 is a `hidden beast` number, since 1 + 2 + 215 + 1 + 420 + 20 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1221514202017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68400246 + ... + 68418101.

It is an arithmetic number, because the mean of its divisors is an integer number (49801878672).

Almost surely, 2^{1221514202016} is an apocalyptic number.

1221514202016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1221514202016 is an abundant number, since it is smaller than the sum of its proper divisors (2364221062368).

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

1221514202016 is a wasteful number, since it uses less digits than its factorization.

1221514202016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136818394 (or 136818383 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1221514202016 its reverse (6102024151221), we get a palindrome (7323538353237).

The spelling of 1221514202016 in words is "one trillion, two hundred twenty-one billion, five hundred fourteen million, two hundred two thousand, sixteen".