130214120 has 64 divisors (see below), whose sum is σ = 300672000. Its totient is φ = 50738688.

The previous prime is 130214107. The next prime is 130214129. The reversal of 130214120 is 21412031.

130214120 = T₁₇₇₆ + T₁₇₇₇ + ... + T₁₈₅₄.

It is a junction number, because it is equal to n+sod(n) for n = 130214095 and 130214104.

It is not an unprimeable number, because it can be changed into a prime (130214129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281009 + ... + 281471.

It is an arithmetic number, because the mean of its divisors is an integer number (4698000).

Almost surely, 2^130214120 is an apocalyptic number.

130214120 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 130214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150336000).

130214120 is an abundant number, since it is smaller than the sum of its proper divisors (170457880).

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

130214120 is a wasteful number, since it uses less digits than its factorization.

130214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 130214120 is about 11411.1401709032. The cubic root of 130214120 is about 506.8576745973.

Adding to 130214120 its reverse (21412031), we get a palindrome (151626151).

The spelling of 130214120 in words is "one hundred thirty million, two hundred fourteen thousand, one hundred twenty".