1012113113220 has 432 divisors, whose sum is σ = 3597885345600. Its totient is φ = 236890241280.

The previous prime is 1012113113203. The next prime is 1012113113239. The reversal of 1012113113220 is 223113112101.

1012113113220 is a `hidden beast` number, since 10 + 1 + 21 + 1 + 311 + 322 + 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 = 1012113113193 and 1012113113202.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41847091 + ... + 41871269.

It is an arithmetic number, because the mean of its divisors is an integer number (8328438300).

Almost surely, 2^{1012113113220} is an apocalyptic number.

1012113113220 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 1012113113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798942672800).

1012113113220 is an abundant number, since it is smaller than the sum of its proper divisors (2585772232380).

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

1012113113220 is a wasteful number, since it uses less digits than its factorization.

1012113113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24252 (or 24229 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1012113113220 its reverse (223113112101), we get a palindrome (1235226225321).

The spelling of 1012113113220 in words is "one trillion, twelve billion, one hundred thirteen million, one hundred thirteen thousand, two hundred twenty".