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111211220120 = 2357111323197613
BaseRepresentation
bin110011110010010110…
…1001000110010011000
3101122001111112100000112
41213210231020302120
53310230033020440
6123031214223452
711014626526310
oct1474455106230
9348044470015
10111211220120
114318991a780
12196784b4b88
13a64441c3c0
14554ddd4440
152d5d5ec965
hex19e4b48c98

111211220120 has 512 divisors, whose sum is σ = 352928378880. Its totient is φ = 30400634880.

The previous prime is 111211220117. The next prime is 111211220149. The reversal of 111211220120 is 21022112111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 111211220095 and 111211220104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181420934 + ... + 181421546.

It is an arithmetic number, because the mean of its divisors is an integer number (689313240).

Almost surely, 2111211220120 is an apocalyptic number.

111211220120 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 111211220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176464189440).

111211220120 is an abundant number, since it is smaller than the sum of its proper divisors (241717158760).

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

111211220120 is a wasteful number, since it uses less digits than its factorization.

111211220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111211220120 its reverse (21022112111), we get a palindrome (132233332231).

The spelling of 111211220120 in words is "one hundred eleven billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty".