221000013120 has 224 divisors, whose sum is σ = 713027613312. Its totient is φ = 57983827968.

The previous prime is 221000013077. The next prime is 221000013137. The reversal of 221000013120 is 21310000122.

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 = 221000013096 and 221000013105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30340999 + ... + 30348281.

It is an arithmetic number, because the mean of its divisors is an integer number (3183158988).

Almost surely, 2^221000013120 is an apocalyptic number.

221000013120 is a gapful number since it is divisible by the number (20) 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 221000013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356513806656).

221000013120 is an abundant number, since it is smaller than the sum of its proper divisors (492027600192).

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

221000013120 is a wasteful number, since it uses less digits than its factorization.

221000013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7809 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 221000013120 its reverse (21310000122), we get a palindrome (242310013242).

The spelling of 221000013120 in words is "two hundred twenty-one billion, thirteen thousand, one hundred twenty".