2212123000032 has 144 divisors (see below), whose sum is σ = 6863134561920. Its totient is φ = 670288953600.

The previous prime is 2212123000019. The next prime is 2212123000037. The reversal of 2212123000032 is 2300003212122.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212122999969 and 2212123000014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212123000037) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 71641557 + ... + 71672427.

It is an arithmetic number, because the mean of its divisors is an integer number (47660656680).

Almost surely, 2^{2212123000032} is an apocalyptic number.

2212123000032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2212123000032 is an abundant number, since it is smaller than the sum of its proper divisors (4651011561888).

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

2212123000032 is a wasteful number, since it uses less digits than its factorization.

2212123000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53517 (or 53506 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2212123000032 its reverse (2300003212122), we get a palindrome (4512126212154).

The spelling of 2212123000032 in words is "two trillion, two hundred twelve billion, one hundred twenty-three million, thirty-two", and thus it is an aban number.