45022120 has 128 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 14192640.

The previous prime is 45022111. The next prime is 45022147. The reversal of 45022120 is 2122054.

It is a junction number, because it is equal to n+sod(n) for n = 45022094 and 45022103.

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, 97009 + ... + 97471.

It is an arithmetic number, because the mean of its divisors is an integer number (986580).

Almost surely, 2^45022120 is an apocalyptic number.

45022120 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 45022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

45022120 is an abundant number, since it is smaller than the sum of its proper divisors (81260120).

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

45022120 is a wasteful number, since it uses less digits than its factorization.

45022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 45022120 is about 6709.8524573943. The cubic root of 45022120 is about 355.7476012577.

Adding to 45022120 its reverse (2122054), we get a palindrome (47144174).

It can be divided in two parts, 450221 and 20, that added together give a square (450241 = 671²).

The spelling of 45022120 in words is "forty-five million, twenty-two thousand, one hundred twenty".