1829300121 has 24 divisors (see below), whose sum is σ = 2884564800. Its totient is φ = 1107885600.

The previous prime is 1829300089. The next prime is 1829300189. The reversal of 1829300121 is 1210039281.

It is not a de Polignac number, because 1829300121 - 2⁵ = 1829300089 is a prime.

It is a super-2 number, since 2×1829300121² = 6692677865381229282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1829300621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154780 + ... + 166178.

It is an arithmetic number, because the mean of its divisors is an integer number (120190200).

Almost surely, 2^1829300121 is an apocalyptic number.

1829300121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1829300121 is a deficient number, since it is larger than the sum of its proper divisors (1055264679).

1829300121 is a wasteful number, since it uses less digits than its factorization.

1829300121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13037 (or 13034 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1829300121 is about 42770.3182242078. The cubic root of 1829300121 is about 1223.0052491458.

The spelling of 1829300121 in words is "one billion, eight hundred twenty-nine million, three hundred thousand, one hundred twenty-one".