121166107605 has 64 divisors (see below), whose sum is σ = 230847045120. Its totient is φ = 60141616128.

The previous prime is 121166107577. The next prime is 121166107633. The reversal of 121166107605 is 506701661121.

It is a happy number.

121166107605 is a `hidden beast` number, since 1 + 21 + 16 + 6 + 10 + 7 + 605 = 666.

It is an interprime number because it is at equal distance from previous prime (121166107577) and next prime (121166107633).

It is not a de Polignac number, because 121166107605 - 2¹⁸ = 121165845461 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121166107605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412452 + ... + 642221.

It is an arithmetic number, because the mean of its divisors is an integer number (3606985080).

Almost surely, 2^121166107605 is an apocalyptic number.

121166107605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121166107605 is a deficient number, since it is larger than the sum of its proper divisors (109680937515).

121166107605 is a wasteful number, since it uses less digits than its factorization.

121166107605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054747 (or 1054741 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 121166107605 its reverse (506701661121), we get a palindrome (627867768726).

The spelling of 121166107605 in words is "one hundred twenty-one billion, one hundred sixty-six million, one hundred seven thousand, six hundred five".