21214005120 has 576 divisors, whose sum is σ = 92974929840. Its totient is φ = 4407459840.

The previous prime is 21214005107. The next prime is 21214005149. The reversal of 21214005120 is 2150041212.

21214005120 is a `hidden beast` number, since 2 + 12 + 140 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 21214005093 and 21214005102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3101224 + ... + 3108056.

Almost surely, 2^21214005120 is an apocalyptic number.

21214005120 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 21214005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46487464920).

21214005120 is an abundant number, since it is smaller than the sum of its proper divisors (71760924720).

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

21214005120 is a wasteful number, since it uses less digits than its factorization.

21214005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 21214005120 its reverse (2150041212), we get a palindrome (23364046332).

The spelling of 21214005120 in words is "twenty-one billion, two hundred fourteen million, five thousand, one hundred twenty".