1209012401601 has 9 divisors (see below), whose sum is σ = 1746356011491. Its totient is φ = 806006068632.

The previous prime is 1209012401599. The next prime is 1209012401603. The reversal of 1209012401601 is 1061042109021.

The square root of 1209012401601 is 1099551.

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

1209012401601 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 0 + 12 + 40 + 1 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (1209012401599) and next prime (1209012401603).

It can be written as a sum of positive squares in only one way, i.e., 100885640625 + 1108126760976 = 317625^2 + 1052676^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1209012401601 - 2¹ = 1209012401599 is a prime.

It is a super-3 number, since 3×1209012401601³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1209012401603) 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, 3115395 + ... + 3481911.

Almost surely, 2^{1209012401601} is an apocalyptic number.

1209012401601 is the 1099551-st square number.

1209012401601 is the 549776-th centered octagonal number.

It is an amenable number.

1209012401601 is a deficient number, since it is larger than the sum of its proper divisors (537343609890).

1209012401601 is an frugal number, since it uses more digits than its factorization.

1209012401601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733040 (or 366520 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1209012401601 in words is "one trillion, two hundred nine billion, twelve million, four hundred one thousand, six hundred one".