21269103321312 has 1536 divisors, whose sum is σ = 80702576640000. Its totient is φ = 5401152368640.

The previous prime is 21269103321283. The next prime is 21269103321407. The reversal of 21269103321312 is 21312330196212.

21269103321312 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 9 + 1 + 0 + 332 + 1 + 312 = 666.

It is a super-3 number, since 3×21269103321312³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 33077920863 + ... + 33077921505.

It is an arithmetic number, because the mean of its divisors is an integer number (52540740000).

Almost surely, 2^{21269103321312} is an apocalyptic number.

21269103321312 is a gapful number since it is divisible by the number (22) 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 21269103321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40351288320000).

21269103321312 is an abundant number, since it is smaller than the sum of its proper divisors (59433473318688).

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

21269103321312 is a wasteful number, since it uses less digits than its factorization.

21269103321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 21269103321312 in words is "twenty-one trillion, two hundred sixty-nine billion, one hundred three million, three hundred twenty-one thousand, three hundred twelve".