21342003120 has 200 divisors, whose sum is σ = 75231796464. Its totient is φ = 5606143488.

The previous prime is 21342003113. The next prime is 21342003139. The reversal of 21342003120 is 2130024312.

21342003120 is a `hidden beast` number, since 213 + 420 + 0 + 31 + 2 + 0 = 666.

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 = 21342003093 and 21342003102.

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 39 ways as a sum of consecutive naturals, for example, 409582 + ... + 458738.

Almost surely, 2^21342003120 is an apocalyptic number.

21342003120 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 21342003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37615898232).

21342003120 is an abundant number, since it is smaller than the sum of its proper divisors (53889793344).

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

21342003120 is a wasteful number, since it uses less digits than its factorization.

21342003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49249 (or 49234 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21342003120 its reverse (2130024312), we get a palindrome (23472027432).

The spelling of 21342003120 in words is "twenty-one billion, three hundred forty-two million, three thousand, one hundred twenty".