120362841 has 45 divisors (see below), whose sum is σ = 191571919. Its totient is φ = 75304944.

The previous prime is 120362831. The next prime is 120362861. The reversal of 120362841 is 148263021.

The square root of 120362841 is 10971.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 86769225 + 33593616 = 9315^2 + 5796^2 .

It is not a de Polignac number, because 120362841 - 2¹³ = 120354649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120362831) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2270971 + ... + 2271023.

Almost surely, 2^120362841 is an apocalyptic number.

120362841 is the 10971-st square number.

120362841 is the 5486-th centered octagonal number.

It is an amenable number.

120362841 is a deficient number, since it is larger than the sum of its proper divisors (71209078).

120362841 is an frugal number, since it uses more digits than its factorization.

120362841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 120362841 is about 493.7390495675.

Multiplying 120362841 by its product of nonzero digits (2304), we get a square (277315985664 = 526608²).

The spelling of 120362841 in words is "one hundred twenty million, three hundred sixty-two thousand, eight hundred forty-one".