120414315 has 96 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 49437696.

The previous prime is 120414311. The next prime is 120414331. The reversal of 120414315 is 513414021.

It is not a de Polignac number, because 120414315 - 2² = 120414311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 120414291 and 120414300.

It is not an unprimeable number, because it can be changed into a prime (120414311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287176 + ... + 287594.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^120414315 is an apocalyptic number.

120414315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120414315 is an abundant number, since it is smaller than the sum of its proper divisors (127795605).

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

120414315 is a wasteful number, since it uses less digits than its factorization.

120414315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 120414315 is about 10973.3456611919. The cubic root of 120414315 is about 493.8094231744.

Adding to 120414315 its reverse (513414021), we get a palindrome (633828336).

The spelling of 120414315 in words is "one hundred twenty million, four hundred fourteen thousand, three hundred fifteen".