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12112401012444 = 2232969593470081
BaseRepresentation
bin1011000001000010001101…
…0111000001011011011100
31120212221020001102011001100
42300100203113001123130
53041422144124344234
641432205445513100
72360043405604155
oct260204327013334
946787201364040
1012112401012444
11394a927669117
12143756a712790
1369b26b46b1c5
142dc359a0692c
15160110bde399
hexb04235c16dc

12112401012444 has 36 divisors (see below), whose sum is σ = 30617782715520. Its totient is φ = 4037424199680.

The previous prime is 12112401012407. The next prime is 12112401012529. The reversal of 12112401012444 is 44421010421121.

12112401012444 is a `hidden beast` number, since 1 + 2 + 1 + 12 + 401 + 0 + 1 + 244 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1755484 + ... + 5225564.

It is an arithmetic number, because the mean of its divisors is an integer number (850493964320).

Almost surely, 212112401012444 is an apocalyptic number.

It is an amenable number.

12112401012444 is an abundant number, since it is smaller than the sum of its proper divisors (18505381703076).

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

12112401012444 is a wasteful number, since it uses less digits than its factorization.

12112401012444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567050 (or 3567045 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 12112401012444 its reverse (44421010421121), we get a palindrome (56533411433565).

The spelling of 12112401012444 in words is "twelve trillion, one hundred twelve billion, four hundred one million, twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 96959 193918 290877 387836 581754 872631 1163508 1745262 3470081 3490524 6940162 10410243 13880324 20820486 31230729 41640972 62461458 124922916 336455583679 672911167358 1009366751037 1345822334716 2018733502074 3028100253111 4037467004148 6056200506222 12112401012444