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111212122320 = 24325137122357
BaseRepresentation
bin110011110010011000…
…0100101000011010000
3101122001120020011121100
41213210300211003100
53310230300403240
6123031245424400
711014640304525
oct1474460450320
9348046204540
10111212122320
114318a3865a2
121967886b100
13a644676c50
14555018b14c
152d5d729e30
hex19e4c250d0

111212122320 has 360 divisors, whose sum is σ = 408135080808. Its totient is φ = 26978273280.

The previous prime is 111212122247. The next prime is 111212122321. The reversal of 111212122320 is 23221212111.

111212122320 is a `hidden beast` number, since 1 + 11 + 212 + 122 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235192896 + 110976929424 = 15336^2 + 333132^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 111212122293 and 111212122302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111212122321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47182582 + ... + 47184938.

Almost surely, 2111212122320 is an apocalyptic number.

111212122320 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 111212122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204067540404).

111212122320 is an abundant number, since it is smaller than the sum of its proper divisors (296922958488).

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

111212122320 is a wasteful number, since it uses less digits than its factorization.

111212122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 111212122320 its reverse (23221212111), we get a palindrome (134433334431).

The spelling of 111212122320 in words is "one hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, three hundred twenty".