21132021123312 has 240 divisors, whose sum is σ = 62956143882240. Its totient is φ = 6095479104000.

The previous prime is 21132021123271. The next prime is 21132021123329. The reversal of 21132021123312 is 21332112023112.

It is a super-2 number, since 2×21132021123312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10020889 + ... + 11944967.

It is an arithmetic number, because the mean of its divisors is an integer number (262317266176).

Almost surely, 2^{21132021123312} is an apocalyptic number.

21132021123312 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 21132021123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31478071941120).

21132021123312 is an abundant number, since it is smaller than the sum of its proper divisors (41824122758928).

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

21132021123312 is a wasteful number, since it uses less digits than its factorization.

21132021123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924204 (or 1924187 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21132021123312 its reverse (21332112023112), we get a palindrome (42464133146424).

The spelling of 21132021123312 in words is "twenty-one trillion, one hundred thirty-two billion, twenty-one million, one hundred twenty-three thousand, three hundred twelve".