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222211222122120 = 23357111011032311721
BaseRepresentation
bin110010100001100110010100…
…111101011010111010001000
31002010210012000010121222012020
4302201212110331122322020
5213111202040330401440
62104334232015444440
764543142143266630
oct6241462475327210
91063705003558166
10222211222122120
1164892282942860
1220b0a034826720
1396cb57508209a
143cc311adc36c0
151aa53556903d0
hexca1994f5ae88

222211222122120 has 512 divisors, whose sum is σ = 847506135490560. Its totient is φ = 45272724480000.

The previous prime is 222211222122119. The next prime is 222211222122143. The reversal of 222211222122120 is 21221222112222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94967860 + ... + 97279580.

It is an arithmetic number, because the mean of its divisors is an integer number (1655285420880).

Almost surely, 2222211222122120 is an apocalyptic number.

222211222122120 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 222211222122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423753067745280).

222211222122120 is an abundant number, since it is smaller than the sum of its proper divisors (625294913368440).

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

222211222122120 is a wasteful number, since it uses less digits than its factorization.

222211222122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311957 (or 2311953 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 222211222122120 its reverse (21221222112222), we get a palindrome (243432444234342).

The spelling of 222211222122120 in words is "two hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".