61110120 has 64 divisors (see below), whose sum is σ = 184029120. Its totient is φ = 16233984.

The previous prime is 61110107. The next prime is 61110139. The reversal of 61110120 is 2101116.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 61110096 and 61110105.

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, 36747 + ... + 38373.

It is an arithmetic number, because the mean of its divisors is an integer number (2875455).

Almost surely, 2^61110120 is an apocalyptic number.

61110120 is a gapful number since it is divisible by the number (60) 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 61110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92014560).

61110120 is an abundant number, since it is smaller than the sum of its proper divisors (122919000).

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

61110120 is a wasteful number, since it uses less digits than its factorization.

61110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 61110120 is about 7817.2962077690. The cubic root of 61110120 is about 393.8864540921.

Adding to 61110120 its reverse (2101116), we get a palindrome (63211236).

It can be divided in two parts, 611 and 10120, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 61110120 in words is "sixty-one million, one hundred ten thousand, one hundred twenty".