61251120 has 160 divisors (see below), whose sum is σ = 241175040. Its totient is φ = 13996800.

The previous prime is 61251109. The next prime is 61251131. The reversal of 61251120 is 2115216.

61251120 is a `hidden beast` number, since 612 + 51 + 1 + 2 + 0 = 666.

61251120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61251109) and next prime (61251131).

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

It is a junction number, because it is equal to n+sod(n) for n = 61251093 and 61251102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13095 + ... + 17145.

It is an arithmetic number, because the mean of its divisors is an integer number (1507344).

Almost surely, 2^61251120 is an apocalyptic number.

61251120 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 61251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120587520).

61251120 is an abundant number, since it is smaller than the sum of its proper divisors (179923920).

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

61251120 is a wasteful number, since it uses less digits than its factorization.

61251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 61251120 is about 7826.3094750974. The cubic root of 61251120 is about 394.1891608028.

Adding to 61251120 its reverse (2115216), we get a palindrome (63366336).

The spelling of 61251120 in words is "sixty-one million, two hundred fifty-one thousand, one hundred twenty".