21120000002112 has 224 divisors, whose sum is σ = 61583152675968. Its totient is φ = 6334617600000.

The previous prime is 21120000002051. The next prime is 21120000002113.

21120000002112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21120000002113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755323812 + ... + 755351772.

It is an arithmetic number, because the mean of its divisors is an integer number (274924788732).

Almost surely, 2^{21120000002112} is an apocalyptic number.

21120000002112 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 21120000002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30791576337984).

21120000002112 is an abundant number, since it is smaller than the sum of its proper divisors (40463152673856).

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

21120000002112 is a wasteful number, since it uses less digits than its factorization.

21120000002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31629 (or 31619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 2112000000 and 2112, that multiplied together give a square (4460544000000 = 2112000²).

The spelling of 21120000002112 in words is "twenty-one trillion, one hundred twenty billion, two thousand, one hundred twelve".