21123033120 has 576 divisors, whose sum is σ = 89791752960. Its totient is φ = 4542234624.

The previous prime is 21123033101. The next prime is 21123033121. The reversal of 21123033120 is 2133032112.

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 = 21123033093 and 21123033102.

It is not an unprimeable number, because it can be changed into a prime (21123033121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8738152 + ... + 8740568.

It is an arithmetic number, because the mean of its divisors is an integer number (155888460).

Almost surely, 2^21123033120 is an apocalyptic number.

21123033120 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 21123033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44895876480).

21123033120 is an abundant number, since it is smaller than the sum of its proper divisors (68668719840).

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

21123033120 is a wasteful number, since it uses less digits than its factorization.

21123033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2451 counting only the distinct ones).

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

Adding to 21123033120 its reverse (2133032112), we get a palindrome (23256065232).

It can be divided in two parts, 21 and 123033120, that added together give a triangular number (123033141 = T₁₅₆₈₆).

The spelling of 21123033120 in words is "twenty-one billion, one hundred twenty-three million, thirty-three thousand, one hundred twenty".