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22120011121110 = 2357271225194153
BaseRepresentation
bin1010000011110001101110…
…11001111100000111010110
32220022122121121101222102020
411001320313121330013112
510344403240321333420
6115013443125554010
74442055332151300
oct501706731740726
986278547358366
1022120011121110
117059053679441
12259300ab75906
13c45ba61273b6
1456688570a970
152855d3cb4340
hex141e3767c1d6

22120011121110 has 192 divisors, whose sum is σ = 62653741346304. Its totient is φ = 4982523840000.

The previous prime is 22120011121099. The next prime is 22120011121163. The reversal of 22120011121110 is 1112111002122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22120011121110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234889794 + ... + 234983946.

It is an arithmetic number, because the mean of its divisors is an integer number (326321569512).

Almost surely, 222120011121110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120011121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31326870673152).

22120011121110 is an abundant number, since it is smaller than the sum of its proper divisors (40533730225194).

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

22120011121110 is a wasteful number, since it uses less digits than its factorization.

22120011121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96499 (or 96492 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 22120011121110 its reverse (1112111002122), we get a palindrome (23232122123232).

The spelling of 22120011121110 in words is "twenty-two trillion, one hundred twenty billion, eleven million, one hundred twenty-one thousand, one hundred ten".