2123112133032 has 128 divisors (see below), whose sum is σ = 5998531593600. Its totient is φ = 620294528000.

The previous prime is 2123112133031. The next prime is 2123112133049. The reversal of 2123112133032 is 2303312113212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2123112132993 and 2123112133011.

It is not an unprimeable number, because it can be changed into a prime (2123112133031) 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, 5169058 + ... + 5564654.

It is an arithmetic number, because the mean of its divisors is an integer number (46863528075).

Almost surely, 2^{2123112133032} is an apocalyptic number.

2123112133032 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 2123112133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999265796800).

2123112133032 is an abundant number, since it is smaller than the sum of its proper divisors (3875419460568).

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

2123112133032 is a wasteful number, since it uses less digits than its factorization.

2123112133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396347 (or 396343 counting only the distinct ones).

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

Adding to 2123112133032 its reverse (2303312113212), we get a palindrome (4426424246244).

The spelling of 2123112133032 in words is "two trillion, one hundred twenty-three billion, one hundred twelve million, one hundred thirty-three thousand, thirty-two".