120103776 has 288 divisors, whose sum is σ = 411576480. Its totient is φ = 33841152.

The previous prime is 120103771. The next prime is 120103783. The reversal of 120103776 is 677301021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120103771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3246030 + ... + 3246066.

It is an arithmetic number, because the mean of its divisors is an integer number (1429085).

Almost surely, 2^120103776 is an apocalyptic number.

120103776 is a gapful number since it is divisible by the number (16) 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 120103776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205788240).

120103776 is an abundant number, since it is smaller than the sum of its proper divisors (291472704).

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

120103776 is a wasteful number, since it uses less digits than its factorization.

120103776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 120103776 is about 10959.1868311476. The cubic root of 120103776 is about 493.3845592453.

Adding to 120103776 its reverse (677301021), we get a palindrome (797404797).

The spelling of 120103776 in words is "one hundred twenty million, one hundred three thousand, seven hundred seventy-six".