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11122221021012 = 2232449688085933
BaseRepresentation
bin1010000111011001100000…
…0010000111011101010100
31110101021101201001211212100
42201312120002013131110
52424211302040133022
635353251112122100
72225361001545543
oct241663002073524
943337351054770
1011122221021012
1135a89a88a0a92
1212b7689396330
13628a897bcb2a
142a646586c15a
151444ab6301ac
hexa1d98087754

11122221021012 has 36 divisors (see below), whose sum is σ = 28177118997300. Its totient is φ = 3699149970432.

The previous prime is 11122221020993. The next prime is 11122221021017. The reversal of 11122221021012 is 21012012222111.

11122221021012 is a `hidden beast` number, since 1 + 11 + 222 + 210 + 210 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7860823408656 + 3261397612356 = 2803716^2 + 1805934^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122221021017) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 344026803 + ... + 344059130.

It is an arithmetic number, because the mean of its divisors is an integer number (782697749925).

Almost surely, 211122221021012 is an apocalyptic number.

11122221021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11122221021012 is an abundant number, since it is smaller than the sum of its proper divisors (17054897976288).

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

11122221021012 is a wasteful number, since it uses less digits than its factorization.

11122221021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688086392 (or 688086387 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11122221021012 its reverse (21012012222111), we get a palindrome (32134233243123).

The spelling of 11122221021012 in words is "eleven trillion, one hundred twenty-two billion, two hundred twenty-one million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 449 898 1347 1796 2694 4041 5388 8082 16164 688085933 1376171866 2064257799 2752343732 4128515598 6192773397 8257031196 12385546794 24771093588 308950583917 617901167834 926851751751 1235802335668 1853703503502 2780555255253 3707407007004 5561110510506 11122221021012