61121212116 has 48 divisors (see below), whose sum is σ = 148994778240. Its totient is φ = 19476419200.

The previous prime is 61121212079. The next prime is 61121212121.

61121212116 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834336 + ... + 904631.

It is an arithmetic number, because the mean of its divisors is an integer number (3104057880).

Almost surely, 2^61121212116 is an apocalyptic number.

It is an amenable number.

61121212116 is an abundant number, since it is smaller than the sum of its proper divisors (87873566124).

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

61121212116 is a wasteful number, since it uses less digits than its factorization.

61121212116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739104 (or 1739102 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The spelling of 61121212116 in words is "sixty-one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred sixteen".