1050213120 has 432 divisors, whose sum is σ = 3906427392. Its totient is φ = 238346240.

The previous prime is 1050213119. The next prime is 1050213121. The reversal of 1050213120 is 213120501.

1050213120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1050213119) and next prime (1050213121).

It is a super-2 number, since 2×1050213120² = 2205895194840268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1050213120.

It is not an unprimeable number, because it can be changed into a prime (1050213121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22344937 + ... + 22344983.

It is an arithmetic number, because the mean of its divisors is an integer number (9042656).

Almost surely, 2^1050213120 is an apocalyptic number.

1050213120 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 1050213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953213696).

1050213120 is an abundant number, since it is smaller than the sum of its proper divisors (2856214272).

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

1050213120 is a wasteful number, since it uses less digits than its factorization.

1050213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1050213120 is about 32406.9918381821. The cubic root of 1050213120 is about 1016.4651186363.

Adding to 1050213120 its reverse (213120501), we get a palindrome (1263333621).

The spelling of 1050213120 in words is "one billion, fifty million, two hundred thirteen thousand, one hundred twenty".