612112116 has 144 divisors (see below), whose sum is σ = 1832386752. Its totient is φ = 157248000.

The previous prime is 612112103. The next prime is 612112121. The reversal of 612112116 is 611211216.

612112116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 612112092 and 612112101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652800 + ... + 653736.

It is an arithmetic number, because the mean of its divisors is an integer number (12724908).

Almost surely, 2^612112116 is an apocalyptic number.

612112116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612112116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916193376).

612112116 is an abundant number, since it is smaller than the sum of its proper divisors (1220274636).

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

612112116 is a wasteful number, since it uses less digits than its factorization.

612112116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1061 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 612112116 is about 24740.8996602791. The cubic root of 612112116 is about 849.0703173303.

The spelling of 612112116 in words is "six hundred twelve million, one hundred twelve thousand, one hundred sixteen".