2121333120 has 96 divisors (see below), whose sum is σ = 7325248320. Its totient is φ = 565687296.

The previous prime is 2121333113. The next prime is 2121333121. The reversal of 2121333120 is 213331212.

2121333120 is a `hidden beast` number, since 212 + 1 + 333 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2121333093 and 2121333102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121333121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178384 + ... + 189903.

It is an arithmetic number, because the mean of its divisors is an integer number (76304670).

Almost surely, 2^2121333120 is an apocalyptic number.

2121333120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121333120 is an abundant number, since it is smaller than the sum of its proper divisors (5203915200).

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

2121333120 is a wasteful number, since it uses less digits than its factorization.

2121333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368312 (or 368297 counting only the distinct ones).

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

The square root of 2121333120 is about 46057.9322158518. The cubic root of 2121333120 is about 1284.9008730127.

Adding to 2121333120 its reverse (213331212), we get a palindrome (2334664332).

It can be divided in two parts, 2121 and 333120, that added together give a square (335241 = 579²).

The spelling of 2121333120 in words is "two billion, one hundred twenty-one million, three hundred thirty-three thousand, one hundred twenty".