1012220021120 has 384 divisors, whose sum is σ = 3050650451520. Its totient is φ = 314371031040.

The previous prime is 1012220021093. The next prime is 1012220021143. The reversal of 1012220021120 is 211200222101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1012220021095 and 1012220021104.

It is a congruent number.

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, 158826254 + ... + 158832626.

Almost surely, 2^{1012220021120} is an apocalyptic number.

1012220021120 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 1012220021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525325225760).

1012220021120 is an abundant number, since it is smaller than the sum of its proper divisors (2038430430400).

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

1012220021120 is a wasteful number, since it uses less digits than its factorization.

1012220021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1012220021120 its reverse (211200222101), we get a palindrome (1223420243221).

The spelling of 1012220021120 in words is "one trillion, twelve billion, two hundred twenty million, twenty-one thousand, one hundred twenty".