120807414 has 96 divisors (see below), whose sum is σ = 325188864. Its totient is φ = 31561920.

The previous prime is 120807409. The next prime is 120807419. The reversal of 120807414 is 414708021.

It is an interprime number because it is at equal distance from previous prime (120807409) and next prime (120807419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120807419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214297 + ... + 214859.

It is an arithmetic number, because the mean of its divisors is an integer number (3387384).

Almost surely, 2^120807414 is an apocalyptic number.

120807414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120807414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162594432).

120807414 is an abundant number, since it is smaller than the sum of its proper divisors (204381450).

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

120807414 is a wasteful number, since it uses less digits than its factorization.

120807414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 120807414 is about 10991.2426049105. The cubic root of 120807414 is about 494.3461952868.

The spelling of 120807414 in words is "one hundred twenty million, eight hundred seven thousand, four hundred fourteen".