1010229120 has 192 divisors, whose sum is σ = 3518461440. Its totient is φ = 267079680.

The previous prime is 1010229091. The next prime is 1010229127. The reversal of 1010229120 is 219220101.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1010229093 and 1010229102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010229127) 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, 730830 + ... + 732210.

It is an arithmetic number, because the mean of its divisors is an integer number (18325320).

Almost surely, 2^1010229120 is an apocalyptic number.

1010229120 is a gapful number since it is divisible by the number (10) 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 1010229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759230720).

1010229120 is an abundant number, since it is smaller than the sum of its proper divisors (2508232320).

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

1010229120 is a wasteful number, since it uses less digits than its factorization.

1010229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1010229120 is about 31784.1016862204. The cubic root of 1010229120 is about 1003.3981461892.

Adding to 1010229120 its reverse (219220101), we get a palindrome (1229449221).

The spelling of 1010229120 in words is "one billion, ten million, two hundred twenty-nine thousand, one hundred twenty".