1012000221120 has 448 divisors, whose sum is σ = 3702328058880. Its totient is φ = 229419122688.

The previous prime is 1012000221101. The next prime is 1012000221131. The reversal of 1012000221120 is 211220002101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012000221096 and 1012000221105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 501734352 + ... + 501736368.

Almost surely, 2^{1012000221120} is an apocalyptic number.

1012000221120 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 1012000221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851164029440).

1012000221120 is an abundant number, since it is smaller than the sum of its proper divisors (2690327837760).

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

1012000221120 is a wasteful number, since it uses less digits than its factorization.

1012000221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012000221120 its reverse (211220002101), we get a palindrome (1223220223221).

The spelling of 1012000221120 in words is "one trillion, twelve billion, two hundred twenty-one thousand, one hundred twenty".