1011134124 has 384 divisors, whose sum is σ = 3612672000. Its totient is φ = 236079360.

The previous prime is 1011134123. The next prime is 1011134149. The reversal of 1011134124 is 4214311101.

1011134124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1011134097 and 1011134106.

It is not an unprimeable number, because it can be changed into a prime (1011134123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5080977 + ... + 5081175.

It is an arithmetic number, because the mean of its divisors is an integer number (9408000).

Almost surely, 2^1011134124 is an apocalyptic number.

1011134124 is a gapful number since it is divisible by the number (14) 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 1011134124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806336000).

1011134124 is an abundant number, since it is smaller than the sum of its proper divisors (2601537876).

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

1011134124 is a wasteful number, since it uses less digits than its factorization.

1011134124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1011134124 is about 31798.3352394430. The cubic root of 1011134124 is about 1003.6976849401.

Adding to 1011134124 its reverse (4214311101), we get a palindrome (5225445225).

It can be divided in two parts, 101 and 1134124, that added together give a square (1134225 = 1065²).

The spelling of 1011134124 in words is "one billion, eleven million, one hundred thirty-four thousand, one hundred twenty-four".