21019312000 has 128 divisors (see below), whose sum is σ = 52780740480. Its totient is φ = 8323840000.

The previous prime is 21019311983. The next prime is 21019312003. The reversal of 21019312000 is 21391012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21019312000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21019312003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1609497 + ... + 1622503.

It is an arithmetic number, because the mean of its divisors is an integer number (412349535).

Almost surely, 2^21019312000 is an apocalyptic number.

21019312000 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 21019312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26390370240).

21019312000 is an abundant number, since it is smaller than the sum of its proper divisors (31761428480).

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

21019312000 is a wasteful number, since it uses less digits than its factorization.

21019312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13137 (or 13115 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The spelling of 21019312000 in words is "twenty-one billion, nineteen million, three hundred twelve thousand".