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221112111220 = 2257112138312097
BaseRepresentation
bin1100110111101101001…
…1110001000001110100
3210010201200110001112121
43031323103301001310
512110314200024340
6245324423525324
721655235635450
oct3157323610164
9703650401477
10221112111220
1185856027900
1236a29bb9844
1317b0a228290
14a9b7d79660
155b41b6994a
hex337b4f1074

221112111220 has 288 divisors, whose sum is σ = 635787258624. Its totient is φ = 62845009920.

The previous prime is 221112111217. The next prime is 221112111221. The reversal of 221112111220 is 22111211122.

It is a junction number, because it is equal to n+sod(n) for n = 221112111194 and 221112111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221112111221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18272212 + ... + 18284308.

It is an arithmetic number, because the mean of its divisors is an integer number (2207594648).

Almost surely, 2221112111220 is an apocalyptic number.

221112111220 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 221112111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317893629312).

221112111220 is an abundant number, since it is smaller than the sum of its proper divisors (414675147404).

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

221112111220 is a wasteful number, since it uses less digits than its factorization.

221112111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12231 (or 12218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221112111220 its reverse (22111211122), we get a palindrome (243223322342).

The spelling of 221112111220 in words is "two hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, two hundred twenty".