1333122120 has 192 divisors, whose sum is σ = 4837060800. Its totient is φ = 315624960.

The previous prime is 1333122103. The next prime is 1333122143. The reversal of 1333122120 is 212213331.

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 = 1333122093 and 1333122102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166366 + ... + 174194.

It is an arithmetic number, because the mean of its divisors is an integer number (25193025).

Almost surely, 2^1333122120 is an apocalyptic number.

1333122120 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 1333122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418530400).

1333122120 is an abundant number, since it is smaller than the sum of its proper divisors (3503938680).

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

1333122120 is a wasteful number, since it uses less digits than its factorization.

1333122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1333122120 is about 36511.9448947875. The cubic root of 1333122120 is about 1100.5842956407.

Adding to 1333122120 its reverse (212213331), we get a palindrome (1545335451).

It can be divided in two parts, 13 and 33122120, that added together give a palindrome (33122133).

The spelling of 1333122120 in words is "one billion, three hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty".