1124212320 has 288 divisors, whose sum is σ = 4783484160. Its totient is φ = 233579520.

The previous prime is 1124212307. The next prime is 1124212321. The reversal of 1124212320 is 232124211.

It is a happy number.

1124212320 is a `hidden beast` number, since 1 + 12 + 421 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1124212293 and 1124212302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124212321) 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, 105811 + ... + 115949.

It is an arithmetic number, because the mean of its divisors is an integer number (16609320).

Almost surely, 2^1124212320 is an apocalyptic number.

1124212320 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 1124212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391742080).

1124212320 is an abundant number, since it is smaller than the sum of its proper divisors (3659271840).

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

1124212320 is a wasteful number, since it uses less digits than its factorization.

1124212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10178 (or 10167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1124212320 is about 33529.2755662868. The cubic root of 1124212320 is about 1039.7991229386.

Adding to 1124212320 its reverse (232124211), we get a palindrome (1356336531).

It can be divided in two parts, 1124 and 212320, that added together give a square (213444 = 462²).

The spelling of 1124212320 in words is "one billion, one hundred twenty-four million, two hundred twelve thousand, three hundred twenty".