1620123120 has 800 divisors, whose sum is σ = 7466950656. Its totient is φ = 315187200.

The previous prime is 1620123097. The next prime is 1620123121. The reversal of 1620123120 is 213210261.

1620123120 is a `hidden beast` number, since 1 + 620 + 1 + 23 + 1 + 20 = 666.

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 = 1620123093 and 1620123102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620123121) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 8482225 + ... + 8482415.

Almost surely, 2^1620123120 is an apocalyptic number.

1620123120 is a gapful number since it is divisible by the number (10) 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 1620123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733475328).

1620123120 is an abundant number, since it is smaller than the sum of its proper divisors (5846827536).

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

1620123120 is a wasteful number, since it uses less digits than its factorization.

1620123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1620123120 is about 40250.7530364340. The cubic root of 1620123120 is about 1174.4900445910.

Adding to 1620123120 its reverse (213210261), we get a palindrome (1833333381).

The spelling of 1620123120 in words is "one billion, six hundred twenty million, one hundred twenty-three thousand, one hundred twenty".