4122974921121 has 135 divisors (see below), whose sum is σ = 7342569188721. Its totient is φ = 2228916290832.

The previous prime is 4122974921099. The next prime is 4122974921141. The reversal of 4122974921121 is 1211294792214.

It is a happy number.

The square root of 4122974921121 is 2030511.

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

4122974921121 is a `hidden beast` number, since 4 + 12 + 29 + 7 + 492 + 1 + 121 = 666.

It is not a de Polignac number, because 4122974921121 - 2²¹ = 4122972823969 is a prime.

Its product of digits (145152) is a multiple of the sum of its prime divisors (756).

It is not an unprimeable number, because it can be changed into a prime (4122974921141) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5671216860 + ... + 5671217586.

Almost surely, 2^{4122974921121} is an apocalyptic number.

4122974921121 is the 2030511-st square number.

4122974921121 is the 1015256-th centered octagonal number.

It is an amenable number.

4122974921121 is a deficient number, since it is larger than the sum of its proper divisors (3219594267600).

4122974921121 is an frugal number, since it uses more digits than its factorization.

4122974921121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 756 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 4122974921121 in words is "four trillion, one hundred twenty-two billion, nine hundred seventy-four million, nine hundred twenty-one thousand, one hundred twenty-one".