122115044501541 has 128 divisors (see below), whose sum is σ = 227627030937600. Its totient is φ = 62978182629120.

The previous prime is 122115044501521. The next prime is 122115044501563. The reversal of 122115044501541 is 145105440511221.

122115044501541 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 50 + 4 + 450 + 154 + 1 = 666.

It is not a de Polignac number, because 122115044501541 - 2¹⁰ = 122115044500517 is a prime.

It is a super-2 number, since 2×122115044501541² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122115044501496 and 122115044501505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122115044501521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113906155 + ... + 114973223.

It is an arithmetic number, because the mean of its divisors is an integer number (1778336179200).

Almost surely, 2^{122115044501541} is an apocalyptic number.

It is an amenable number.

122115044501541 is a deficient number, since it is larger than the sum of its proper divisors (105511986436059).

122115044501541 is a wasteful number, since it uses less digits than its factorization.

122115044501541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068136 (or 1068130 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 122115044501541 in words is "one hundred twenty-two trillion, one hundred fifteen billion, forty-four million, five hundred one thousand, five hundred forty-one".