20142120 has 64 divisors (see below), whose sum is σ = 61585920. Its totient is φ = 5268224.

The previous prime is 20142091. The next prime is 20142131. The reversal of 20142120 is 2124102.

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 = 20142096 and 20142105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4777 + ... + 7943.

It is an arithmetic number, because the mean of its divisors is an integer number (962280).

Almost surely, 2^20142120 is an apocalyptic number.

20142120 is a gapful number since it is divisible by the number (20) 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 20142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30792960).

20142120 is an abundant number, since it is smaller than the sum of its proper divisors (41443800).

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

20142120 is a wasteful number, since it uses less digits than its factorization.

20142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20142120 is about 4487.9973262024. The cubic root of 20142120 is about 272.0831997500.

Adding to 20142120 its reverse (2124102), we get a palindrome (22266222).

The spelling of 20142120 in words is "twenty million, one hundred forty-two thousand, one hundred twenty".