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12220012002112 = 2631199224313799
BaseRepresentation
bin1011000111010011000101…
…1110010111101101000000
31121021012222122110211100021
42301310301132113231000
53100203041033031422
641553443534503224
72400603201122005
oct261646136275500
947235878424307
1012220012002112
113991529222422
1214543a1364b14
136a845aa29615
143036477cb8ac
15162d0d1d1dc7
hexb1d31797b40

12220012002112 has 112 divisors (see below), whose sum is σ = 25170140160000. Its totient is φ = 5880146849280.

The previous prime is 12220012002101. The next prime is 12220012002173. The reversal of 12220012002112 is 21120021002221.

It is a happy number.

12220012002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122200120021122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 885565389 + ... + 885579187.

Almost surely, 212220012002112 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 12220012002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585070080000).

12220012002112 is an abundant number, since it is smaller than the sum of its proper divisors (12950128157888).

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

12220012002112 is a wasteful number, since it uses less digits than its factorization.

12220012002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16284 (or 16274 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12220012002112 its reverse (21120021002221), we get a palindrome (33340033004333).

The spelling of 12220012002112 in words is "twelve trillion, two hundred twenty billion, twelve million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 199 248 398 496 796 992 1592 1984 2243 3184 4486 6169 6368 8972 12338 12736 13799 17944 24676 27598 35888 49352 55196 69533 71776 98704 110392 139066 143552 197408 220784 278132 394816 427769 441568 446357 556264 855538 883136 892714 1112528 1711076 1785428 2225056 2746001 3422152 3570856 4450112 5492002 6844304 7141712 10984004 13688608 13837067 14283424 21968008 27377216 27674134 28566848 30951157 43936016 55348268 61902314 85126031 87872032 110696536 123804628 170252062 175744064 221393072 247609256 340504124 442786144 495218512 681008248 885572288 959485867 990437024 1362016496 1918971734 1980874048 2724032992 3837943468 5448065984 6159280243 7675886936 12318560486 15351773872 24637120972 30703547744 49274241944 61407095488 98548483888 190937687533 197096967776 381875375066 394193935552 763750750132 1527501500264 3055003000528 6110006001056 12220012002112