4020312003120 has 2240 divisors, whose sum is σ = 17705466777600. Its totient is φ = 827714764800.

The previous prime is 4020312003109. The next prime is 4020312003143. The reversal of 4020312003120 is 213002130204.

4020312003120 is a `hidden beast` number, since 40 + 2 + 0 + 312 + 0 + 0 + 312 + 0 = 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 = 4020312003093 and 4020312003102.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 20202572781 + ... + 20202572979.

It is an arithmetic number, because the mean of its divisors is an integer number (7904226240).

Almost surely, 2^{4020312003120} is an apocalyptic number.

4020312003120 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 4020312003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8852733388800).

4020312003120 is an abundant number, since it is smaller than the sum of its proper divisors (13685154774480).

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

4020312003120 is a wasteful number, since it uses less digits than its factorization.

4020312003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 4020312003120 its reverse (213002130204), we get a palindrome (4233314133324).

The spelling of 4020312003120 in words is "four trillion, twenty billion, three hundred twelve million, three thousand, one hundred twenty".