1032121102320 has 1440 divisors, whose sum is σ = 4636608238080. Its totient is φ = 199329361920.

The previous prime is 1032121102307. The next prime is 1032121102349. The reversal of 1032121102320 is 232011212301.

1032121102320 is a `hidden beast` number, since 1 + 0 + 321 + 2 + 110 + 232 + 0 = 666.

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 = 1032121102293 and 1032121102302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6574019682 + ... + 6574019838.

It is an arithmetic number, because the mean of its divisors is an integer number (3219866832).

Almost surely, 2^{1032121102320} is an apocalyptic number.

1032121102320 is a gapful number since it is divisible by the number (10) 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 1032121102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318304119040).

1032121102320 is an abundant number, since it is smaller than the sum of its proper divisors (3604487135760).

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

1032121102320 is a wasteful number, since it uses less digits than its factorization.

1032121102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1032121102320 its reverse (232011212301), we get a palindrome (1264132314621).

The spelling of 1032121102320 in words is "one trillion, thirty-two billion, one hundred twenty-one million, one hundred two thousand, three hundred twenty".