21103233120 has 288 divisors, whose sum is σ = 77422625280. Its totient is φ = 5217592320.

The previous prime is 21103233071. The next prime is 21103233133. The reversal of 21103233120 is 2133230112.

21103233120 is a `hidden beast` number, since 21 + 10 + 323 + 312 + 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 = 21103233093 and 21103233102.

It is a congruent number.

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, 1277715 + ... + 1294125.

It is an arithmetic number, because the mean of its divisors is an integer number (268828560).

Almost surely, 2^21103233120 is an apocalyptic number.

21103233120 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 21103233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38711312640).

21103233120 is an abundant number, since it is smaller than the sum of its proper divisors (56319392160).

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

21103233120 is a wasteful number, since it uses less digits than its factorization.

21103233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16498 (or 16487 counting only the distinct ones).

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

Adding to 21103233120 its reverse (2133230112), we get a palindrome (23236463232).

The spelling of 21103233120 in words is "twenty-one billion, one hundred three million, two hundred thirty-three thousand, one hundred twenty".