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11210011212012 = 223172771265915671
BaseRepresentation
bin1010001100100000100010…
…1111000111100011101100
31110200122222221210121220220
42203020020233013203230
52432131100332241022
635501450312411340
72234616346060344
oct243101057074354
943618887717826
1011210011212012
1136321590a2948
1213106aa0a6b50
1363413a857b02
142aa7d3097d24
151468e89a385c
hexa3208bc78ec

11210011212012 has 96 divisors (see below), whose sum is σ = 27799274442240. Its totient is φ = 3503669591040.

The previous prime is 11210011211983. The next prime is 11210011212107. The reversal of 11210011212012 is 21021211001211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11210011211982 and 11210011212000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715326937 + ... + 715342607.

It is an arithmetic number, because the mean of its divisors is an integer number (289575775440).

Almost surely, 211210011212012 is an apocalyptic number.

11210011212012 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 11210011212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899637221120).

11210011212012 is an abundant number, since it is smaller than the sum of its proper divisors (16589263230228).

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

11210011212012 is a wasteful number, since it uses less digits than its factorization.

11210011212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28631 (or 28629 counting only the distinct ones).

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

Adding to 11210011212012 its reverse (21021211001211), we get a palindrome (32231222213223).

The spelling of 11210011212012 in words is "eleven trillion, two hundred ten billion, eleven million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 277 554 831 1108 1662 3324 4709 9418 12659 14127 15671 18836 25318 28254 31342 37977 47013 50636 56508 62684 75954 94026 151908 188052 215203 266407 430406 532814 645609 799221 860812 1065628 1291218 1598442 2582436 3196884 3506543 4340867 7013086 8681734 10519629 13022601 14026172 17363468 21039258 26045202 42078516 52090404 59611231 73794739 119222462 147589478 178833693 198379189 221384217 238444924 295178956 357667386 396758378 442768434 595137567 715334772 793516756 885536868 1190275134 2380550268 3372446213 6744892426 10117338639 13489784852 20234677278 40469354556 54951035353 109902070706 164853106059 219804141412 329706212118 659412424236 934167601001 1868335202002 2802502803003 3736670404004 5605005606006 11210011212012