1158121830 has 128 divisors (see below), whose sum is σ = 2962759680. Its totient is φ = 289336320.

The previous prime is 1158121807. The next prime is 1158121837. The reversal of 1158121830 is 381218511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1158121837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4121290 + ... + 4121570.

It is an arithmetic number, because the mean of its divisors is an integer number (23146560).

Almost surely, 2^1158121830 is an apocalyptic number.

1158121830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1158121830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481379840).

1158121830 is an abundant number, since it is smaller than the sum of its proper divisors (1804637850).

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

1158121830 is a wasteful number, since it uses less digits than its factorization.

1158121830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454.

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 1158121830 is about 34031.1890770805. The cubic root of 1158121830 is about 1050.1501916675.

It can be divided in two parts, 11581 and 21830, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 1158121830 in words is "one billion, one hundred fifty-eight million, one hundred twenty-one thousand, eight hundred thirty".