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11211200000112 = 2437227146989721
BaseRepresentation
bin1010001100100100111110…
…0101111111000001110000
31110200210001210201022121210
42203021033211333001300
52432141014200000422
635502204300320120
72234660662441020
oct243111745770160
943623053638553
1011211200000112
113632709140a52
121310980243040
13634299c24c18
142aa8a6d09a80
1514696802710c
hexa324f97f070

11211200000112 has 80 divisors (see below), whose sum is σ = 33245547363072. Its totient is φ = 3189088965120.

The previous prime is 11211199999973. The next prime is 11211200000123. The reversal of 11211200000112 is 21100000211211.

11211200000112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112112000001122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73418589 + ... + 73571132.

Almost surely, 211211200000112 is an apocalyptic number.

11211200000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11211200000112 is an abundant number, since it is smaller than the sum of its proper divisors (22034347362960).

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

11211200000112 is a wasteful number, since it uses less digits than its factorization.

11211200000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146989966 (or 146989960 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11211200000112 its reverse (21100000211211), we get a palindrome (32311200211323).

The spelling of 11211200000112 in words is "eleven trillion, two hundred eleven billion, two hundred million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 227 336 454 681 908 1362 1589 1816 2724 3178 3632 4767 5448 6356 9534 10896 12712 19068 25424 38136 76272 146989721 293979442 440969163 587958884 881938326 1028928047 1175917768 1763876652 2057856094 2351835536 3086784141 3527753304 4115712188 6173568282 7055506608 8231424376 12347136564 16462848752 24694273128 33366666667 49388546256 66733333334 100100000001 133466666668 200200000002 233566666669 266933333336 400400000004 467133333338 533866666672 700700000007 800800000008 934266666676 1401400000014 1601600000016 1868533333352 2802800000028 3737066666704 5605600000056 11211200000112