381111120 has 240 divisors, whose sum is σ = 1451573760. Its totient is φ = 88833024.

The previous prime is 381111119. The next prime is 381111131. The reversal of 381111120 is 21111183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 381111093 and 381111102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176769 + ... + 178911.

It is an arithmetic number, because the mean of its divisors is an integer number (6048224).

Almost surely, 2^381111120 is an apocalyptic number.

381111120 is a gapful number since it is divisible by the number (30) 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 381111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725786880).

381111120 is an abundant number, since it is smaller than the sum of its proper divisors (1070462640).

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

381111120 is a wasteful number, since it uses less digits than its factorization.

381111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 381111120 is about 19522.0675134577. The cubic root of 381111120 is about 725.0209236926.

The spelling of 381111120 in words is "three hundred eighty-one million, one hundred eleven thousand, one hundred twenty".