1241417127721 has 27 divisors (see below), whose sum is σ = 1309715289687. Its totient is φ = 1176583584000.

The previous prime is 1241417127677. The next prime is 1241417127737. The reversal of 1241417127721 is 1277217141421.

The square root of 1241417127721 is 1114189.

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

It can be written as a sum of positive squares in only one way, i.e., 300780949225 + 940636178496 = 548435^2 + 969864^2 .

It is not a de Polignac number, because 1241417127721 - 2⁷ = 1241417127593 is a prime.

It is a super-2 number, since 2×1241417127721² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1241417127761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4945884846 + ... + 4945885096.

Almost surely, 2^{1241417127721} is an apocalyptic number.

1241417127721 is the 1114189-th square number.

1241417127721 is the 557095-th centered octagonal number.

It is an amenable number.

1241417127721 is a deficient number, since it is larger than the sum of its proper divisors (68298161966).

1241417127721 is an frugal number, since it uses more digits than its factorization.

1241417127721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its digits is 43904, while the sum is 40.

The spelling of 1241417127721 in words is "one trillion, two hundred forty-one billion, four hundred seventeen million, one hundred twenty-seven thousand, seven hundred twenty-one".