1012020232320 has 384 divisors, whose sum is σ = 3585670545600. Its totient is φ = 262876078080.

The previous prime is 1012020232309. The next prime is 1012020232441. The reversal of 1012020232320 is 232320202101.

1012020232320 is a `hidden beast` number, since 1 + 0 + 120 + 202 + 323 + 20 = 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 = 1012020232293 and 1012020232302.

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, 93865330 + ... + 93876110.

Almost surely, 2^{1012020232320} is an apocalyptic number.

1012020232320 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 1012020232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792835272800).

1012020232320 is an abundant number, since it is smaller than the sum of its proper divisors (2573650313280).

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

1012020232320 is a wasteful number, since it uses less digits than its factorization.

1012020232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11228 (or 11213 counting only the distinct ones).

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

Adding to 1012020232320 its reverse (232320202101), we get a palindrome (1244340434421).

The spelling of 1012020232320 in words is "one trillion, twelve billion, twenty million, two hundred thirty-two thousand, three hundred twenty".