2405121516105 has 128 divisors (see below), whose sum is σ = 4903348469760. Its totient is φ = 977561706240.

The previous prime is 2405121516053. The next prime is 2405121516139. The reversal of 2405121516105 is 5016151215042.

It is a happy number.

It is not a de Polignac number, because 2405121516105 - 2⁶ = 2405121516041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 79186632 + ... + 79216998.

It is an arithmetic number, because the mean of its divisors is an integer number (38307409920).

Almost surely, 2^{2405121516105} is an apocalyptic number.

It is an amenable number.

2405121516105 is an abundant number, since it is smaller than the sum of its proper divisors (2498226953655).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2405121516105 is a wasteful number, since it uses less digits than its factorization.

2405121516105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31899.

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 2405121516105 in words is "two trillion, four hundred five billion, one hundred twenty-one million, five hundred sixteen thousand, one hundred five".