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11120311121220 = 22345729436431223
BaseRepresentation
bin1010000111010010011000…
…1100011011010101000100
31110101002110121020212220000
42201310212030123111010
52424143344121334340
635352333404241300
72225262450634560
oct241644614332504
943332417225800
1011120311121220
1135a81087a4004
1212b7235840230
13628843c01202
142a6323d486a0
151443e8b18d30
hexa1d2631b544

11120311121220 has 960 divisors, whose sum is σ = 42302483435520. Its totient is φ = 2391379780608.

The previous prime is 11120311121159. The next prime is 11120311121239. The reversal of 11120311121220 is 2212111302111.

It is a happy number.

11120311121220 is a `hidden beast` number, since 1 + 1 + 12 + 0 + 311 + 121 + 220 = 666.

It is a super-2 number, since 2×111203111212202 (a number of 27 digits) contains 22 as substring.

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 = 11120311121193 and 11120311121202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9092649529 + ... + 9092650751.

It is an arithmetic number, because the mean of its divisors is an integer number (44065086912).

Almost surely, 211120311121220 is an apocalyptic number.

11120311121220 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 11120311121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21151241717760).

11120311121220 is an abundant number, since it is smaller than the sum of its proper divisors (31182172314300).

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

11120311121220 is a wasteful number, since it uses less digits than its factorization.

11120311121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11120311121220 its reverse (2212111302111), we get a palindrome (13332422423331).

The spelling of 11120311121220 in words is "eleven trillion, one hundred twenty billion, three hundred eleven million, one hundred twenty-one thousand, two hundred twenty".