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11121221110212 = 2234317515321013
BaseRepresentation
bin1010000111010101110001…
…1011110000100111000100
31110101011211000120010010000
42201311130123300213010
52424202230101011322
635353003552401300
72225324140465653
oct241653433604704
943334730503100
1011121221110212
1135a8535429224
1212b744a546230
1362895a5b4435
142a63acb4519a
1514444d96a3ac
hexa1d5c6f09c4

11121221110212 has 120 divisors (see below), whose sum is σ = 29171829893976. Its totient is φ = 3694486505472.

The previous prime is 11121221110177. The next prime is 11121221110213. The reversal of 11121221110212 is 21201112212111.

It is a happy number.

11121221110212 is a `hidden beast` number, since 1 + 1 + 121 + 221 + 110 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 446991193476 + 10674229916736 = 668574^2 + 3267144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11121221110213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 529243818 + ... + 529264830.

Almost surely, 211121221110212 is an apocalyptic number.

11121221110212 is a gapful number since it is divisible by the number (12) 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 11121221110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14585914946988).

11121221110212 is an abundant number, since it is smaller than the sum of its proper divisors (18050608783764).

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

11121221110212 is a wasteful number, since it uses less digits than its factorization.

11121221110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26499 (or 26488 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11121221110212 its reverse (21201112212111), we get a palindrome (32322333322323).

The spelling of 11121221110212 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 317 324 634 951 1268 1902 2853 3804 5153 5706 8559 10306 11412 15459 17118 20612 21013 25677 30918 34236 42026 46377 51354 61836 63039 84052 92754 102708 126078 139131 185508 189117 252156 278262 378234 417393 556524 567351 756468 834786 1134702 1633501 1669572 1702053 2269404 3267002 3404106 4900503 6534004 6661121 6808212 9801006 13322242 14701509 19602012 19983363 26644484 29403018 39966726 44104527 58806036 59950089 79933452 88209054 108279989 119900178 132313581 176418108 179850267 216559978 239800356 264627162 324839967 359700534 433119956 529254324 539550801 649679934 719401068 974519901 1079101602 1299359868 1949039802 2158203204 2923559703 3898079604 5847119406 8770679109 11694238812 17541358218 34324756513 35082716436 68649513026 102974269539 137299026052 205948539078 308922808617 411897078156 617845617234 926768425851 1235691234468 1853536851702 2780305277553 3707073703404 5560610555106 11121221110212