1829201120 has 24 divisors (see below), whose sum is σ = 4321488024. Its totient is φ = 731680384.

The previous prime is 1829201119. The next prime is 1829201147. The reversal of 1829201120 is 211029281.

It is a self number, because there is not a number n which added to its sum of digits gives 1829201120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5716094 + ... + 5716413.

It is an arithmetic number, because the mean of its divisors is an integer number (180062001).

Almost surely, 2^1829201120 is an apocalyptic number.

1829201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1829201120 is an abundant number, since it is smaller than the sum of its proper divisors (2492286904).

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

1829201120 is a wasteful number, since it uses less digits than its factorization.

1829201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11432522 (or 11432514 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 1829201120 is about 42769.1608521841. The cubic root of 1829201120 is about 1222.9831858941.

The spelling of 1829201120 in words is "one billion, eight hundred twenty-nine million, two hundred one thousand, one hundred twenty".