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11212112001112 = 231110110771117119
BaseRepresentation
bin1010001100101000010111…
…1100111111100001011000
31110200212102100210202210121
42203022011330333201120
52432144401133013422
635502434555523024
72235022405352041
oct243120574774130
943625370722717
1011212112001112
113633036a1a890
121310b95759474
136343b3b60b99
142aa9520ab8c8
151469bd1248c7
hexa3285f3f858

11212112001112 has 64 divisors (see below), whose sum is σ = 23163281510400. Its totient is φ = 5045443440000.

The previous prime is 11212112001091. The next prime is 11212112001133. The reversal of 11212112001112 is 21110021121211.

11212112001112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11212112001091) and next prime (11212112001133).

It is a super-2 number, since 2×112121120011122 (a number of 27 digits) contains 22 as substring.

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, 95674089 + ... + 95791207.

It is an arithmetic number, because the mean of its divisors is an integer number (361926273600).

Almost surely, 211212112001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212112001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11581640755200).

11212112001112 is an abundant number, since it is smaller than the sum of its proper divisors (11951169509288).

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

11212112001112 is a wasteful number, since it uses less digits than its factorization.

11212112001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128008 (or 128004 counting only the distinct ones).

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

Adding to 11212112001112 its reverse (21110021121211), we get a palindrome (32322133122323).

The spelling of 11212112001112 in words is "eleven trillion, two hundred twelve billion, one hundred twelve million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8888 10771 21542 43084 86168 117119 118481 234238 236962 468476 473924 936952 947848 1087871 1288309 2175742 2576618 4351484 5153236 8702968 10306472 11829019 11966581 23658038 23933162 47316076 47866324 94632152 95732648 130119209 260238418 520476836 1040953672 1261488749 2522977498 5045954996 10091909992 13876376239 27752752478 55505504956 111011009912 127410363649 254820727298 509641454596 1019282909192 1401514000139 2803028000278 5606056000556 11212112001112