122027835517641 has 27 divisors (see below), whose sum is σ = 176648470556103. Its totient is φ = 81174106026720.

The previous prime is 122027835517607. The next prime is 122027835517649. The reversal of 122027835517641 is 146715538720221.

The square root of 122027835517641 is 11046621.

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

122027835517641 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 2 + 7 + 83 + 5 + 517 + 6 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29048100757641 + 92979734760000 = 5389629^2 + 9642600^2 .

It is not a de Polignac number, because 122027835517641 - 2¹³ = 122027835509449 is a prime.

It is a super-2 number, since 2×122027835517641² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122027835517649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16139109501 + ... + 16139117061.

Almost surely, 2^{122027835517641} is an apocalyptic number.

122027835517641 is the 11046621-st square number.

122027835517641 is the 5523311-st centered octagonal number.

It is an amenable number.

122027835517641 is a deficient number, since it is larger than the sum of its proper divisors (54620635038462).

122027835517641 is an frugal number, since it uses more digits than its factorization.

122027835517641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16102 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 122027835517641 in words is "one hundred twenty-two trillion, twenty-seven billion, eight hundred thirty-five million, five hundred seventeen thousand, six hundred forty-one".