7121965027401 has 27 divisors (see below), whose sum is σ = 11966933363463. Its totient is φ = 4069662276960.

The previous prime is 7121965027283. The next prime is 7121965027421. The reversal of 7121965027401 is 1047205691217.

The square root of 7121965027401 is 2668701.

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

7121965027401 is a `hidden beast` number, since 7 + 1 + 2 + 196 + 50 + 2 + 7 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2326390613001 + 4795574414400 = 1525251^2 + 2189880^2 .

It is not a de Polignac number, because 7121965027401 - 2¹⁵ = 7121964994633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7121965027421) 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, 55979181 + ... + 56106261.

Almost surely, 2^{7121965027401} is an apocalyptic number.

7121965027401 is the 2668701-st square number.

7121965027401 is the 1334351-st centered octagonal number.

It is an amenable number.

7121965027401 is a deficient number, since it is larger than the sum of its proper divisors (4844968336062).

7121965027401 is an frugal number, since it uses more digits than its factorization.

7121965027401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254182 (or 127091 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 7121965027401 in words is "seven trillion, one hundred twenty-one billion, nine hundred sixty-five million, twenty-seven thousand, four hundred one".