1221413990976 has 63 divisors (see below), whose sum is σ = 3501038700601. Its totient is φ = 407129155584.

The previous prime is 1221413990941. The next prime is 1221413990987. The reversal of 1221413990976 is 6790993141221.

The square root of 1221413990976 is 1105176.

It is a perfect power (a square), and thus also a powerful number.

1221413990976 is a `hidden beast` number, since 1 + 22 + 141 + 399 + 0 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15282893376 + 1206131097600 = 123624^2 + 1098240^2 .

It is a super-3 number, since 3×1221413990976³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 26501200 + ... + 26547248.

Almost surely, 2^{1221413990976} is an apocalyptic number.

1221413990976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1221413990976 is the 1105176-th square number.

It is an amenable number.

1221413990976 is an abundant number, since it is smaller than the sum of its proper divisors (2279624709625).

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

1221413990976 is an frugal number, since it uses more digits than its factorization.

1221413990976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92116 (or 46054 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1221413990976 in words is "one trillion, two hundred twenty-one billion, four hundred thirteen million, nine hundred ninety thousand, nine hundred seventy-six".