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12111112110020 = 225711223241128981
BaseRepresentation
bin1011000000111101011010…
…0010001111111111000100
31120212210220020010010022112
42300033112202033333010
53041412024200010040
641431433524120152
72356666435244150
oct260172642177704
946783806103275
1012111112110020
11394a326060700
12143726ab36058
1369b0c441a551
142dc276774060
15160087992365
hexb03d688ffc4

12111112110020 has 288 divisors, whose sum is σ = 33477007753728. Its totient is φ = 3595756032000.

The previous prime is 12111112110007. The next prime is 12111112110023. The reversal of 12111112110020 is 2001121111121.

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 = 12111112109977 and 12111112110004.

It is not an unprimeable number, because it can be changed into a prime (12111112110023) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 93833930 + ... + 93962910.

It is an arithmetic number, because the mean of its divisors is an integer number (116239610256).

Almost surely, 212111112110020 is an apocalyptic number.

12111112110020 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 12111112110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738503876864).

12111112110020 is an abundant number, since it is smaller than the sum of its proper divisors (21365895643708).

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

12111112110020 is a wasteful number, since it uses less digits than its factorization.

12111112110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129283 (or 129270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12111112110020 its reverse (2001121111121), we get a palindrome (14112233221141).

The spelling of 12111112110020 in words is "twelve trillion, one hundred eleven billion, one hundred twelve million, one hundred ten thousand, twenty".