21032133123012 has 384 divisors, whose sum is σ = 55525925564928. Its totient is φ = 6142795776000.

The previous prime is 21032133122977. The next prime is 21032133123031.

21032133123012 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×21032133123012³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31066666018 + ... + 31066666694.

It is an arithmetic number, because the mean of its divisors is an integer number (144598764492).

Almost surely, 2^{21032133123012} is an apocalyptic number.

21032133123012 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 21032133123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27762962782464).

21032133123012 is an abundant number, since it is smaller than the sum of its proper divisors (34493792441916).

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

21032133123012 is a wasteful number, since it uses less digits than its factorization.

21032133123012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2103213 and 3123012, that added together give a palindrome (5226225).

The spelling of 21032133123012 in words is "twenty-one trillion, thirty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, twelve".