21124033042112 has 168 divisors, whose sum is σ = 56707891611168. Its totient is φ = 7597054586880.

The previous prime is 21124033042087. The next prime is 21124033042121.

It is a happy number.

21124033042112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14283173 + ... + 15692580.

It is an arithmetic number, because the mean of its divisors is an integer number (337546973876).

Almost surely, 2^{21124033042112} is an apocalyptic number.

21124033042112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21124033042112 is an abundant number, since it is smaller than the sum of its proper divisors (35583858569056).

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

21124033042112 is a wasteful number, since it uses less digits than its factorization.

21124033042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29975807 (or 29975786 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 2112403 and 3042112, that added together give a palindrome (5154515).

The spelling of 21124033042112 in words is "twenty-one trillion, one hundred twenty-four billion, thirty-three million, forty-two thousand, one hundred twelve".