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11221010211012 = 223737337345109
BaseRepresentation
bin1010001101001001100001…
…0100111110000011000100
31110201201101111100200001020
42203102120110332003010
52432321112103223022
635510505543231140
72235456044034000
oct243223024760304
943651344320036
1011221010211012
113636892807668
1213128597484b0
136351a14c1944
142ab157b87700
15146d3e3e635c
hexa349853e0c4

11221010211012 has 96 divisors (see below), whose sum is σ = 30951627168000. Its totient is φ = 3162084984576.

The previous prime is 11221010211011. The next prime is 11221010211017. The reversal of 11221010211012 is 21011201012211.

It is a happy number.

It is a super-2 number, since 2×112210102110122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11221010210982 and 11221010211000.

It is not an unprimeable number, because it can be changed into a prime (11221010211011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18372087 + ... + 18973022.

It is an arithmetic number, because the mean of its divisors is an integer number (322412783000).

Almost surely, 211221010211012 is an apocalyptic number.

11221010211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11221010211012 is an abundant number, since it is smaller than the sum of its proper divisors (19730616956988).

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

11221010211012 is a wasteful number, since it uses less digits than its factorization.

11221010211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37345210 (or 37345194 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11221010211012 its reverse (21011201012211), we get a palindrome (32232211223223).

The spelling of 11221010211012 in words is "eleven trillion, two hundred twenty-one billion, ten million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 343 438 511 588 686 876 1022 1029 1372 1533 2044 2058 3066 3577 4116 6132 7154 10731 14308 21462 25039 42924 50078 75117 100156 150234 300468 37345109 74690218 112035327 149380436 224070654 261415763 448141308 522831526 784247289 1045663052 1568494578 1829910341 2726192957 3136989156 3659820682 5452385914 5489731023 7319641364 8178578871 10904771828 10979462046 12809372387 16357157742 19083350699 21958924092 25618744774 32714315484 38166701398 38428117161 51237489548 57250052097 76333402796 76856234322 114500104194 133583454893 153712468644 229000208388 267166909786 400750364679 534333819572 801500729358 935084184251 1603001458716 1870168368502 2805252552753 3740336737004 5610505105506 11221010211012