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2112002121222 = 2357665993229
BaseRepresentation
bin11110101110111101001…
…000101101111000000110
321110220110001121010100000
4132232331020231320012
5234100340020334342
64254123531102130
7305405244553440
oct36567510557006
97426401533300
102112002121222
11744771157234
122a13a12a1946
1312421279bc96
1474315921490
1539e10c5644c
hex1ebbd22de06

2112002121222 has 96 divisors (see below), whose sum is σ = 5424285484800. Its totient is φ = 603332087328.

The previous prime is 2112002121197. The next prime is 2112002121223. The reversal of 2112002121222 is 2221212002112.

It is a happy number.

2112002121222 is a `hidden beast` number, since 211 + 20 + 0 + 212 + 1 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2112002121195 and 2112002121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112002121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22607304 + ... + 22700532.

It is an arithmetic number, because the mean of its divisors is an integer number (56502973800).

Almost surely, 22112002121222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112002121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712142742400).

2112002121222 is an abundant number, since it is smaller than the sum of its proper divisors (3312283363578).

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

2112002121222 is an equidigital number, since it uses as much as digits as its factorization.

2112002121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99912 (or 99900 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112002121222 its reverse (2221212002112), we get a palindrome (4333214123334).

The spelling of 2112002121222 in words is "two trillion, one hundred twelve billion, two million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 6659 13318 19977 39954 46613 59931 93226 93229 119862 139839 179793 186458 279678 279687 359586 419517 539379 559374 652603 839034 839061 1078758 1258551 1305206 1618137 1678122 1957809 2517102 2517183 3236274 3775653 3915618 5034366 5873427 7551306 7551549 11326959 11746854 15103098 17620281 22653918 22654647 35240562 45309294 52860843 105721686 158582529 317165058 620811911 1241623822 1862435733 3724871466 4345683377 5587307199 8691366754 11174614398 13037050131 16761921597 26074100262 33523843194 39111150393 50285764791 78222300786 100571529582 117333451179 150857294373 234666902358 301714588746 352000353537 704000707074 1056001060611 2112002121222