1221292424641 has 9 divisors (see below), whose sum is σ = 1234121191401. Its totient is φ = 1208595689472.

The previous prime is 1221292424617. The next prime is 1221292424689. The reversal of 1221292424641 is 1464242921221.

It is a happy number.

The square root of 1221292424641 is 1105121.

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

It can be written as a sum of positive squares in 4 ways, for example, as 49875842241 + 1171416582400 = 223329^2 + 1082320^2 .

It is not a de Polignac number, because 1221292424641 - 2⁵ = 1221292424609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1221292424594 and 1221292424603.

It is not an unprimeable number, because it can be changed into a prime (1221292425641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107191041 + ... + 107202433.

Almost surely, 2^{1221292424641} is an apocalyptic number.

1221292424641 is the 1105121-st square number.

1221292424641 is the 552561-st centered octagonal number.

It is an amenable number.

1221292424641 is a deficient number, since it is larger than the sum of its proper divisors (12828766760).

1221292424641 is an frugal number, since it uses more digits than its factorization.

1221292424641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22980 (or 11490 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The spelling of 1221292424641 in words is "one trillion, two hundred twenty-one billion, two hundred ninety-two million, four hundred twenty-four thousand, six hundred forty-one".