45000120 has 128 divisors (see below), whose sum is σ = 149610240. Its totient is φ = 10736640.

The previous prime is 45000107. The next prime is 45000133. The reversal of 45000120 is 2100054.

It is an interprime number because it is at equal distance from previous prime (45000107) and next prime (45000133).

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 = 45000096 and 45000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96127 + ... + 96593.

It is an arithmetic number, because the mean of its divisors is an integer number (1168830).

Almost surely, 2^45000120 is an apocalyptic number.

45000120 is a gapful number since it is divisible by the number (40) 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 45000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74805120).

45000120 is an abundant number, since it is smaller than the sum of its proper divisors (104610120).

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

45000120 is a wasteful number, since it uses less digits than its factorization.

45000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 45000120 is about 6708.2128767653. The cubic root of 45000120 is about 355.6896466170.

Adding to 45000120 its reverse (2100054), we get a palindrome (47100174).

The spelling of 45000120 in words is "forty-five million, one hundred twenty", and thus it is an aban number.