7979218212001 has 9 divisors (see below), whose sum is σ = 8245005868659. Its totient is φ = 7721739333600.

The previous prime is 7979218211989. The next prime is 7979218212071. The reversal of 7979218212001 is 1002128129797.

The square root of 7979218212001 is 2824751.

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., 6609007498401 + 1370210713600 = 2570799^2 + 1170560^2 .

It is not a de Polignac number, because 7979218212001 - 2¹¹ = 7979218209953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7979218212071) 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, 87521721 + ... + 87612841.

Almost surely, 2^{7979218212001} is an apocalyptic number.

7979218212001 is the 2824751-st square number.

7979218212001 is the 1412376-th centered octagonal number.

It is an amenable number.

7979218212001 is a deficient number, since it is larger than the sum of its proper divisors (265787656658).

7979218212001 is an frugal number, since it uses more digits than its factorization.

7979218212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182304 (or 91152 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 49.

Multiplying 7979218212001 by its sum of digits (49), we get a square (390981692388049 = 19773257²).

The spelling of 7979218212001 in words is "seven trillion, nine hundred seventy-nine billion, two hundred eighteen million, two hundred twelve thousand, one".