1221290214401 has 16 divisors (see below), whose sum is σ = 1285268884560. Its totient is φ = 1158884213760.

The previous prime is 1221290214377. The next prime is 1221290214449. The reversal of 1221290214401 is 1044120921221.

It is a happy number.

It is a Cunningham number, because it is equal to 1105120²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 50131210000 + 1171159004401 = 223900^2 + 1082201^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221290214401 - 2¹⁴ = 1221290198017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1221290214901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431630 + ... + 1621383.

It is an arithmetic number, because the mean of its divisors is an integer number (80329305285).

Almost surely, 2^{1221290214401} is an apocalyptic number.

It is an amenable number.

1221290214401 is a deficient number, since it is larger than the sum of its proper divisors (63978670159).

1221290214401 is a wasteful number, since it uses less digits than its factorization.

1221290214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053396.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 1221290214401 in words is "one trillion, two hundred twenty-one billion, two hundred ninety million, two hundred fourteen thousand, four hundred one".