1032123322032 has 160 divisors (see below), whose sum is σ = 2965249140480. Its totient is φ = 306691906560.

The previous prime is 1032123321953. The next prime is 1032123322039. The reversal of 1032123322032 is 2302233212301.

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 = 1032123321993 and 1032123322011.

It is not an unprimeable number, because it can be changed into a prime (1032123322039) 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, 55371018 + ... + 55389654.

It is an arithmetic number, because the mean of its divisors is an integer number (18532807128).

Almost surely, 2^{1032123322032} is an apocalyptic number.

1032123322032 is a gapful number since it is divisible by the number (12) 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 1032123322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482624570240).

1032123322032 is an abundant number, since it is smaller than the sum of its proper divisors (1933125818448).

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

1032123322032 is a wasteful number, since it uses less digits than its factorization.

1032123322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20691 (or 20685 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1032123322032 its reverse (2302233212301), we get a palindrome (3334356534333).

The spelling of 1032123322032 in words is "one trillion, thirty-two billion, one hundred twenty-three million, three hundred twenty-two thousand, thirty-two".