1333112220 has 288 divisors, whose sum is σ = 4684732416. Its totient is φ = 303782400.

The previous prime is 1333112201. The next prime is 1333112243. The reversal of 1333112220 is 222113331.

1333112220 is a `hidden beast` number, since 1 + 333 + 112 + 220 = 666.

It is a super-2 number, since 2×1333112220² = 3554376382226656800, which contains 22 as substring.

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 = 1333112193 and 1333112202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2270767 + ... + 2271353.

It is an arithmetic number, because the mean of its divisors is an integer number (16266432).

Almost surely, 2^1333112220 is an apocalyptic number.

1333112220 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 1333112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342366208).

1333112220 is an abundant number, since it is smaller than the sum of its proper divisors (3351620196).

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

1333112220 is a wasteful number, since it uses less digits than its factorization.

1333112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

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

The square root of 1333112220 is about 36511.8093224644. The cubic root of 1333112220 is about 1100.5815712563.

Adding to 1333112220 its reverse (222113331), we get a palindrome (1555225551).

It can be divided in two parts, 133311 and 2220, that added together give a palindrome (135531).

The spelling of 1333112220 in words is "one billion, three hundred thirty-three million, one hundred twelve thousand, two hundred twenty".