11957641201 has 9 divisors (see below), whose sum is σ = 13144845259. Its totient is φ = 10869489400.

The previous prime is 11957641181. The next prime is 11957641231. The reversal of 11957641201 is 10214675911.

The square root of 11957641201 is 109351.

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., 2405601 + 11955235600 = 1551^2 + 109340^2 .

It is not a de Polignac number, because 11957641201 - 2¹⁵ = 11957608433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11957641231) 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, 1197891 + ... + 1207831.

Almost surely, 2^11957641201 is an apocalyptic number.

11957641201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11957641201 is the 109351-st square number.

11957641201 is the 54676-th centered octagonal number.

It is an amenable number.

11957641201 is a deficient number, since it is larger than the sum of its proper divisors (1187204058).

11957641201 is an frugal number, since it uses more digits than its factorization.

11957641201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19904 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The spelling of 11957641201 in words is "eleven billion, nine hundred fifty-seven million, six hundred forty-one thousand, two hundred one".