21190335120 has 240 divisors, whose sum is σ = 73384075440. Its totient is φ = 5475741696.

The previous prime is 21190335097. The next prime is 21190335149. The reversal of 21190335120 is 2153309112.

21190335120 is a `hidden beast` number, since 2 + 119 + 0 + 33 + 512 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1575772416 + 19614562704 = 39696^2 + 140052^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7164682 + ... + 7167638.

It is an arithmetic number, because the mean of its divisors is an integer number (305766981).

Almost surely, 2^21190335120 is an apocalyptic number.

21190335120 is a gapful number since it is divisible by the number (20) 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 21190335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36692037720).

21190335120 is an abundant number, since it is smaller than the sum of its proper divisors (52193740320).

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

21190335120 is a wasteful number, since it uses less digits than its factorization.

21190335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 21190335120 in words is "twenty-one billion, one hundred ninety million, three hundred thirty-five thousand, one hundred twenty".