122135571441 has 135 divisors (see below), whose sum is σ = 206616842289. Its totient is φ = 71864065728.

The previous prime is 122135571419. The next prime is 122135571527. The reversal of 122135571441 is 144175531221.

The square root of 122135571441 is 349479.

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

122135571441 is a `hidden beast` number, since 12 + 2 + 1 + 35 + 571 + 4 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15661271025 + 106474300416 = 125145^2 + 326304^2 .

It is not a de Polignac number, because 122135571441 - 2¹⁷ = 122135440369 is a prime.

It is a super-2 number, since 2×122135571441² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122135571396 and 122135571405.

It is not an unprimeable number, because it can be changed into a prime (122135571841) 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, 1185782196 + ... + 1185782298.

Almost surely, 2^122135571441 is an apocalyptic number.

122135571441 is the 349479-th square number.

122135571441 is the 174740-th centered octagonal number.

It is an amenable number.

122135571441 is a deficient number, since it is larger than the sum of its proper divisors (84481270848).

122135571441 is an equidigital number, since it uses as much as digits as its factorization.

122135571441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 148 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

Multiplying 122135571441 by its sum of digits (36), we get a square (4396880571876 = 2096874²).

The spelling of 122135571441 in words is "one hundred twenty-two billion, one hundred thirty-five million, five hundred seventy-one thousand, four hundred forty-one".