1230127210321 has 9 divisors (see below), whose sum is σ = 1233114619611. Its totient is φ = 1227147029064.

The previous prime is 1230127210309. The next prime is 1230127210381.

The square root of 1230127210321 is 1109111.

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

1230127210321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1000322025921 + 229805184400 = 1000161^2 + 479380^2 .

It is not a de Polignac number, because 1230127210321 - 2¹¹ = 1230127208273 is a prime.

It is a super-3 number, since 3×1230127210321³ (a number of 37 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1230127210381) 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, 564536410 + ... + 564538588.

Almost surely, 2^{1230127210321} is an apocalyptic number.

1230127210321 is the 1109111-st square number.

1230127210321 is the 554556-th centered octagonal number.

It is an amenable number.

1230127210321 is a deficient number, since it is larger than the sum of its proper divisors (2987409290).

1230127210321 is an frugal number, since it uses more digits than its factorization.

1230127210321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5376 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Multiplying 1230127210321 by its sum of digits (25), we get a square (30753180258025 = 5545555²).

The spelling of 1230127210321 in words is "one trillion, two hundred thirty billion, one hundred twenty-seven million, two hundred ten thousand, three hundred twenty-one".