1032221013120 has 384 divisors, whose sum is σ = 3978862430400. Its totient is φ = 244415324160.

The previous prime is 1032221013113. The next prime is 1032221013139. The reversal of 1032221013120 is 213101222301.

1032221013120 is a `hidden beast` number, since 1 + 0 + 322 + 210 + 13 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1032221013093 and 1032221013102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2535046 + ... + 2913914.

Almost surely, 2^{1032221013120} is an apocalyptic number.

1032221013120 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 1032221013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989431215200).

1032221013120 is an abundant number, since it is smaller than the sum of its proper divisors (2946641417280).

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

1032221013120 is a wasteful number, since it uses less digits than its factorization.

1032221013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378948 (or 378933 counting only the distinct ones).

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

Adding to 1032221013120 its reverse (213101222301), we get a palindrome (1245322235421).

The spelling of 1032221013120 in words is "one trillion, thirty-two billion, two hundred twenty-one million, thirteen thousand, one hundred twenty".