61121124 has 27 divisors (see below), whose sum is σ = 154619283. Its totient is φ = 20358072.

The previous prime is 61121113. The next prime is 61121129. The reversal of 61121124 is 42112116.

The square root of 61121124 is 7818.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 61121097 and 61121106.

It is not an unprimeable number, because it can be changed into a prime (61121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46257 + ... + 47559.

Almost surely, 2^61121124 is an apocalyptic number.

61121124 is the 7818-th square number.

It is an amenable number.

61121124 is an abundant number, since it is smaller than the sum of its proper divisors (93498159).

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

61121124 is a wasteful number, since it uses less digits than its factorization.

61121124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 1308 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The cubic root of 61121124 is about 393.9100948377.

It can be divided in two parts, 6112112 and 4, that added together give a palindrome (6112116).

The spelling of 61121124 in words is "sixty-one million, one hundred twenty-one thousand, one hundred twenty-four".